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Finding the Fourth Proportional to 99,187.76, 148,781.64 and 25,315.76

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Solution

The fourth proportional to 99,187.76, 148,781.64 and 25,315.76 is: 37,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,187.76 : 148,781.64 = 25,315.76 : x
  2. Step 2: Convert to fraction form
    99,187.76/148,781.64 = 25,315.76/x
  3. Step 3: Cross multiply
    99,187.76x = 148,781.64 × 25,315.76
  4. Step 4: Simplify right side
    99,187.76x = 3,766,520,290.65
  5. Step 5: Solve for x
    x = 3,766,520,290.65/99,187.76
  6. Step 6: Final answer
    x = 37,973.64

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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.