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Finding the Fourth Proportional to 261,051.76, 391,577.98 and 71,513.79

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Solution

The fourth proportional to 261,051.76, 391,577.98 and 71,513.79 is: 107,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,051.76 : 391,577.98 = 71,513.79 : x
  2. Step 2: Convert to fraction form
    261,051.76/391,577.98 = 71,513.79/x
  3. Step 3: Cross multiply
    261,051.76x = 391,577.98 × 71,513.79
  4. Step 4: Simplify right side
    261,051.76x = 28,003,225,430.34
  5. Step 5: Solve for x
    x = 28,003,225,430.34/261,051.76
  6. Step 6: Final answer
    x = 107,270.78

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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.