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Finding the Fourth Proportional to 99,809.60, 149,716.80 and 29,691.20

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Solution

The fourth proportional to 99,809.60, 149,716.80 and 29,691.20 is: 44,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.60 : 149,716.80 = 29,691.20 : x
  2. Step 2: Convert to fraction form
    99,809.60/149,716.80 = 29,691.20/x
  3. Step 3: Cross multiply
    99,809.60x = 149,716.80 × 29,691.20
  4. Step 4: Simplify right side
    99,809.60x = 4,445,271,452.16
  5. Step 5: Solve for x
    x = 4,445,271,452.16/99,809.60
  6. Step 6: Final answer
    x = 44,537.51

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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.