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Finding the Fourth Proportional to 102,607.13, 153,926.90 and 39,424.73

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Solution

The fourth proportional to 102,607.13, 153,926.90 and 39,424.73 is: 59,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607.13 : 153,926.90 = 39,424.73 : x
  2. Step 2: Convert to fraction form
    102,607.13/153,926.90 = 39,424.73/x
  3. Step 3: Cross multiply
    102,607.13x = 153,926.90 × 39,424.73
  4. Step 4: Simplify right side
    102,607.13x = 6,068,526,472.24
  5. Step 5: Solve for x
    x = 6,068,526,472.24/102,607.13
  6. Step 6: Final answer
    x = 59,143.32

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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.