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Finding the Fourth Proportional to 137,372.49, 206,129.10 and 65,406.84

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Solution

The fourth proportional to 137,372.49, 206,129.10 and 65,406.84 is: 98,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,372.49 : 206,129.10 = 65,406.84 : x
  2. Step 2: Convert to fraction form
    137,372.49/206,129.10 = 65,406.84/x
  3. Step 3: Cross multiply
    137,372.49x = 206,129.10 × 65,406.84
  4. Step 4: Simplify right side
    137,372.49x = 13,482,253,694.81
  5. Step 5: Solve for x
    x = 13,482,253,694.81/137,372.49
  6. Step 6: Final answer
    x = 98,143.77

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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.