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Finding the Fourth Proportional to 106,655.91, 159,636.66 and 78,564.90

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Solution

The fourth proportional to 106,655.91, 159,636.66 and 78,564.90 is: 117,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,655.91 : 159,636.66 = 78,564.90 : x
  2. Step 2: Convert to fraction form
    106,655.91/159,636.66 = 78,564.90/x
  3. Step 3: Cross multiply
    106,655.91x = 159,636.66 × 78,564.90
  4. Step 4: Simplify right side
    106,655.91x = 12,541,838,229.23
  5. Step 5: Solve for x
    x = 12,541,838,229.23/106,655.91
  6. Step 6: Final answer
    x = 117,591.59

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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.