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Finding the Fourth Proportional to 133,880.80, 200,810.32 and 45,132.40

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Solution

The fourth proportional to 133,880.80, 200,810.32 and 45,132.40 is: 67,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,880.80 : 200,810.32 = 45,132.40 : x
  2. Step 2: Convert to fraction form
    133,880.80/200,810.32 = 45,132.40/x
  3. Step 3: Cross multiply
    133,880.80x = 200,810.32 × 45,132.40
  4. Step 4: Simplify right side
    133,880.80x = 9,063,051,686.37
  5. Step 5: Solve for x
    x = 9,063,051,686.37/133,880.80
  6. Step 6: Final answer
    x = 67,694.93

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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.