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Finding the Fourth Proportional to 221,042.80, 331,597.12 and 78,877

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Solution

The fourth proportional to 221,042.80, 331,597.12 and 78,877 is: 118,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,042.80 : 331,597.12 = 78,877 : x
  2. Step 2: Convert to fraction form
    221,042.80/331,597.12 = 78,877/x
  3. Step 3: Cross multiply
    221,042.80x = 331,597.12 × 78,877
  4. Step 4: Simplify right side
    221,042.80x = 26,155,386,034.24
  5. Step 5: Solve for x
    x = 26,155,386,034.24/221,042.80
  6. Step 6: Final answer
    x = 118,327.25

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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.