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Finding the Fourth Proportional to 102,001.80, 152,853.30 and 91,471.80

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Solution

The fourth proportional to 102,001.80, 152,853.30 and 91,471.80 is: 137,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.80 : 152,853.30 = 91,471.80 : x
  2. Step 2: Convert to fraction form
    102,001.80/152,853.30 = 91,471.80/x
  3. Step 3: Cross multiply
    102,001.80x = 152,853.30 × 91,471.80
  4. Step 4: Simplify right side
    102,001.80x = 13,981,766,486.94
  5. Step 5: Solve for x
    x = 13,981,766,486.94/102,001.80
  6. Step 6: Final answer
    x = 137,073.72

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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.