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Finding the Fourth Proportional to 99,188.64, 148,788.59 and 31,726.60

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Solution

The fourth proportional to 99,188.64, 148,788.59 and 31,726.60 is: 47,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,188.64 : 148,788.59 = 31,726.60 : x
  2. Step 2: Convert to fraction form
    99,188.64/148,788.59 = 31,726.60/x
  3. Step 3: Cross multiply
    99,188.64x = 148,788.59 × 31,726.60
  4. Step 4: Simplify right side
    99,188.64x = 4,720,556,445.31
  5. Step 5: Solve for x
    x = 4,720,556,445.31/99,188.64
  6. Step 6: Final answer
    x = 47,591.70

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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.