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Finding the Fourth Proportional to 99,338, 148,977.84 and 29,200.64

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Solution

The fourth proportional to 99,338, 148,977.84 and 29,200.64 is: 43,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338 : 148,977.84 = 29,200.64 : x
  2. Step 2: Convert to fraction form
    99,338/148,977.84 = 29,200.64/x
  3. Step 3: Cross multiply
    99,338x = 148,977.84 × 29,200.64
  4. Step 4: Simplify right side
    99,338x = 4,350,248,273.82
  5. Step 5: Solve for x
    x = 4,350,248,273.82/99,338
  6. Step 6: Final answer
    x = 43,792.39

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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.