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Finding the Fourth Proportional to 242,569.68, 334,737.72 and 135,134.16

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Solution

The fourth proportional to 242,569.68, 334,737.72 and 135,134.16 is: 186,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,569.68 : 334,737.72 = 135,134.16 : x
  2. Step 2: Convert to fraction form
    242,569.68/334,737.72 = 135,134.16/x
  3. Step 3: Cross multiply
    242,569.68x = 334,737.72 × 135,134.16
  4. Step 4: Simplify right side
    242,569.68x = 45,234,500,612.52
  5. Step 5: Solve for x
    x = 45,234,500,612.52/242,569.68
  6. Step 6: Final answer
    x = 186,480.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.