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Finding the Fourth Proportional to 99,332.60, 149,009.18 and 31,840.88

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Solution

The fourth proportional to 99,332.60, 149,009.18 and 31,840.88 is: 47,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,332.60 : 149,009.18 = 31,840.88 : x
  2. Step 2: Convert to fraction form
    99,332.60/149,009.18 = 31,840.88/x
  3. Step 3: Cross multiply
    99,332.60x = 149,009.18 × 31,840.88
  4. Step 4: Simplify right side
    99,332.60x = 4,744,583,419.28
  5. Step 5: Solve for x
    x = 4,744,583,419.28/99,332.60
  6. Step 6: Final answer
    x = 47,764.62

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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.