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Finding the Fourth Proportional to 98,811.77, 148,221.76 and 28,691.09

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Solution

The fourth proportional to 98,811.77, 148,221.76 and 28,691.09 is: 43,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,811.77 : 148,221.76 = 28,691.09 : x
  2. Step 2: Convert to fraction form
    98,811.77/148,221.76 = 28,691.09/x
  3. Step 3: Cross multiply
    98,811.77x = 148,221.76 × 28,691.09
  4. Step 4: Simplify right side
    98,811.77x = 4,252,643,276.38
  5. Step 5: Solve for x
    x = 4,252,643,276.38/98,811.77
  6. Step 6: Final answer
    x = 43,037.82

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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.