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Finding the Fourth Proportional to 86,643.72, 129,932.78 and 34,024.50

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Solution

The fourth proportional to 86,643.72, 129,932.78 and 34,024.50 is: 51,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643.72 : 129,932.78 = 34,024.50 : x
  2. Step 2: Convert to fraction form
    86,643.72/129,932.78 = 34,024.50/x
  3. Step 3: Cross multiply
    86,643.72x = 129,932.78 × 34,024.50
  4. Step 4: Simplify right side
    86,643.72x = 4,420,897,702.99
  5. Step 5: Solve for x
    x = 4,420,897,702.99/86,643.72
  6. Step 6: Final answer
    x = 51,023.87

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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.