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Finding the Fourth Proportional to 99,904.64, 149,930.92 and 47,314.28

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Solution

The fourth proportional to 99,904.64, 149,930.92 and 47,314.28 is: 71,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904.64 : 149,930.92 = 47,314.28 : x
  2. Step 2: Convert to fraction form
    99,904.64/149,930.92 = 47,314.28/x
  3. Step 3: Cross multiply
    99,904.64x = 149,930.92 × 47,314.28
  4. Step 4: Simplify right side
    99,904.64x = 7,093,873,253.22
  5. Step 5: Solve for x
    x = 7,093,873,253.22/99,904.64
  6. Step 6: Final answer
    x = 71,006.44

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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.