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Finding the Fourth Proportional to 261,051.63, 391,385.93 and 83,456.43

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Solution

The fourth proportional to 261,051.63, 391,385.93 and 83,456.43 is: 125,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,051.63 : 391,385.93 = 83,456.43 : x
  2. Step 2: Convert to fraction form
    261,051.63/391,385.93 = 83,456.43/x
  3. Step 3: Cross multiply
    261,051.63x = 391,385.93 × 83,456.43
  4. Step 4: Simplify right side
    261,051.63x = 32,663,672,052.75
  5. Step 5: Solve for x
    x = 32,663,672,052.75/261,051.63
  6. Step 6: Final answer
    x = 125,123.42

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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.