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Finding the Fourth Proportional to 137,411.76, 205,767.72 and 90,522.48

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Solution

The fourth proportional to 137,411.76, 205,767.72 and 90,522.48 is: 135,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.76 : 205,767.72 = 90,522.48 : x
  2. Step 2: Convert to fraction form
    137,411.76/205,767.72 = 90,522.48/x
  3. Step 3: Cross multiply
    137,411.76x = 205,767.72 × 90,522.48
  4. Step 4: Simplify right side
    137,411.76x = 18,626,604,318.35
  5. Step 5: Solve for x
    x = 18,626,604,318.35/137,411.76
  6. Step 6: Final answer
    x = 135,553.20

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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.