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Finding the Fourth Proportional to 102,561, 141,539.04 and 57,849

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Solution

The fourth proportional to 102,561, 141,539.04 and 57,849 is: 79,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,561 : 141,539.04 = 57,849 : x
  2. Step 2: Convert to fraction form
    102,561/141,539.04 = 57,849/x
  3. Step 3: Cross multiply
    102,561x = 141,539.04 × 57,849
  4. Step 4: Simplify right side
    102,561x = 8,187,891,924.96
  5. Step 5: Solve for x
    x = 8,187,891,924.96/102,561
  6. Step 6: Final answer
    x = 79,834.36

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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.