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Finding the Fourth Proportional to 99,192.66, 148,734.32 and 51,689.21

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Solution

The fourth proportional to 99,192.66, 148,734.32 and 51,689.21 is: 77,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,192.66 : 148,734.32 = 51,689.21 : x
  2. Step 2: Convert to fraction form
    99,192.66/148,734.32 = 51,689.21/x
  3. Step 3: Cross multiply
    99,192.66x = 148,734.32 × 51,689.21
  4. Step 4: Simplify right side
    99,192.66x = 7,687,958,498.57
  5. Step 5: Solve for x
    x = 7,687,958,498.57/99,192.66
  6. Step 6: Final answer
    x = 77,505.32

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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.