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Finding the Fourth Proportional to 86,633.76, 129,897.84 and 34,068

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Solution

The fourth proportional to 86,633.76, 129,897.84 and 34,068 is: 51,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,633.76 : 129,897.84 = 34,068 : x
  2. Step 2: Convert to fraction form
    86,633.76/129,897.84 = 34,068/x
  3. Step 3: Cross multiply
    86,633.76x = 129,897.84 × 34,068
  4. Step 4: Simplify right side
    86,633.76x = 4,425,359,613.12
  5. Step 5: Solve for x
    x = 4,425,359,613.12/86,633.76
  6. Step 6: Final answer
    x = 51,081.24

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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.