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Finding the Fourth Proportional to 77,154.98, 115,712.21 and 32,758.88

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Solution

The fourth proportional to 77,154.98, 115,712.21 and 32,758.88 is: 49,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.98 : 115,712.21 = 32,758.88 : x
  2. Step 2: Convert to fraction form
    77,154.98/115,712.21 = 32,758.88/x
  3. Step 3: Cross multiply
    77,154.98x = 115,712.21 × 32,758.88
  4. Step 4: Simplify right side
    77,154.98x = 3,790,601,905.26
  5. Step 5: Solve for x
    x = 3,790,601,905.26/77,154.98
  6. Step 6: Final answer
    x = 49,129.71

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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.