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Finding the Fourth Proportional to 189,057,613.60, 283,586,420.40 and 161,847,834.40

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Solution

The fourth proportional to 189,057,613.60, 283,586,420.40 and 161,847,834.40 is: 242,771,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,057,613.60 : 283,586,420.40 = 161,847,834.40 : x
  2. Step 2: Convert to fraction form
    189,057,613.60/283,586,420.40 = 161,847,834.40/x
  3. Step 3: Cross multiply
    189,057,613.60x = 283,586,420.40 × 161,847,834.40
  4. Step 4: Simplify right side
    189,057,613.60x = 45,897,848,006,987,976
  5. Step 5: Solve for x
    x = 45,897,848,006,987,976/189,057,613.60
  6. Step 6: Final answer
    x = 242,771,751.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.