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Finding the Fourth Proportional to 256,641.19, 384,957.55 and 76,727.04

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Solution

The fourth proportional to 256,641.19, 384,957.55 and 76,727.04 is: 115,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,641.19 : 384,957.55 = 76,727.04 : x
  2. Step 2: Convert to fraction form
    256,641.19/384,957.55 = 76,727.04/x
  3. Step 3: Cross multiply
    256,641.19x = 384,957.55 × 76,727.04
  4. Step 4: Simplify right side
    256,641.19x = 29,536,653,337.15
  5. Step 5: Solve for x
    x = 29,536,653,337.15/256,641.19
  6. Step 6: Final answer
    x = 115,089.29

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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.