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Finding the Fourth Proportional to 115,722.32, 159,710.02 and 64,747.96

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Solution

The fourth proportional to 115,722.32, 159,710.02 and 64,747.96 is: 89,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,722.32 : 159,710.02 = 64,747.96 : x
  2. Step 2: Convert to fraction form
    115,722.32/159,710.02 = 64,747.96/x
  3. Step 3: Cross multiply
    115,722.32x = 159,710.02 × 64,747.96
  4. Step 4: Simplify right side
    115,722.32x = 10,340,897,425.41
  5. Step 5: Solve for x
    x = 10,340,897,425.41/115,722.32
  6. Step 6: Final answer
    x = 89,359.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.