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Finding the Fourth Proportional to 86,329.52, 129,484.96 and 23,156

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Solution

The fourth proportional to 86,329.52, 129,484.96 and 23,156 is: 34,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,329.52 : 129,484.96 = 23,156 : x
  2. Step 2: Convert to fraction form
    86,329.52/129,484.96 = 23,156/x
  3. Step 3: Cross multiply
    86,329.52x = 129,484.96 × 23,156
  4. Step 4: Simplify right side
    86,329.52x = 2,998,353,733.76
  5. Step 5: Solve for x
    x = 2,998,353,733.76/86,329.52
  6. Step 6: Final answer
    x = 34,731.50

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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.