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Finding the Fourth Proportional to 69,141, 103,711.50 and 19,893

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Solution

The fourth proportional to 69,141, 103,711.50 and 19,893 is: 29,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,141 : 103,711.50 = 19,893 : x
  2. Step 2: Convert to fraction form
    69,141/103,711.50 = 19,893/x
  3. Step 3: Cross multiply
    69,141x = 103,711.50 × 19,893
  4. Step 4: Simplify right side
    69,141x = 2,063,132,869.50
  5. Step 5: Solve for x
    x = 2,063,132,869.50/69,141
  6. Step 6: Final answer
    x = 29,839.50

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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.