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Finding the Fourth Proportional to 189,046.80, 283,608.60 and 64,400.40

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Solution

The fourth proportional to 189,046.80, 283,608.60 and 64,400.40 is: 96,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046.80 : 283,608.60 = 64,400.40 : x
  2. Step 2: Convert to fraction form
    189,046.80/283,608.60 = 64,400.40/x
  3. Step 3: Cross multiply
    189,046.80x = 283,608.60 × 64,400.40
  4. Step 4: Simplify right side
    189,046.80x = 18,264,507,283.44
  5. Step 5: Solve for x
    x = 18,264,507,283.44/189,046.80
  6. Step 6: Final answer
    x = 96,613.68

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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.