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Finding the Fourth Proportional to 86,046.68, 129,060.30 and 29,876.96

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Solution

The fourth proportional to 86,046.68, 129,060.30 and 29,876.96 is: 44,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046.68 : 129,060.30 = 29,876.96 : x
  2. Step 2: Convert to fraction form
    86,046.68/129,060.30 = 29,876.96/x
  3. Step 3: Cross multiply
    86,046.68x = 129,060.30 × 29,876.96
  4. Step 4: Simplify right side
    86,046.68x = 3,855,929,420.69
  5. Step 5: Solve for x
    x = 3,855,929,420.69/86,046.68
  6. Step 6: Final answer
    x = 44,812.07

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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.