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Finding the Fourth Proportional to 75,957.72, 104,823.92 and 42,423

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Solution

The fourth proportional to 75,957.72, 104,823.92 and 42,423 is: 58,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.72 : 104,823.92 = 42,423 : x
  2. Step 2: Convert to fraction form
    75,957.72/104,823.92 = 42,423/x
  3. Step 3: Cross multiply
    75,957.72x = 104,823.92 × 42,423
  4. Step 4: Simplify right side
    75,957.72x = 4,446,945,158.16
  5. Step 5: Solve for x
    x = 4,446,945,158.16/75,957.72
  6. Step 6: Final answer
    x = 58,545.01

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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.