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Finding the Fourth Proportional to 99,739.74, 137,691.70 and 77,027.74

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Solution

The fourth proportional to 99,739.74, 137,691.70 and 77,027.74 is: 106,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,739.74 : 137,691.70 = 77,027.74 : x
  2. Step 2: Convert to fraction form
    99,739.74/137,691.70 = 77,027.74/x
  3. Step 3: Cross multiply
    99,739.74x = 137,691.70 × 77,027.74
  4. Step 4: Simplify right side
    99,739.74x = 10,606,080,467.76
  5. Step 5: Solve for x
    x = 10,606,080,467.76/99,739.74
  6. Step 6: Final answer
    x = 106,337.56

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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.