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Finding the Fourth Proportional to 71,686.68, 98,933.16 and 43,007.42

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Solution

The fourth proportional to 71,686.68, 98,933.16 and 43,007.42 is: 59,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,686.68 : 98,933.16 = 43,007.42 : x
  2. Step 2: Convert to fraction form
    71,686.68/98,933.16 = 43,007.42/x
  3. Step 3: Cross multiply
    71,686.68x = 98,933.16 × 43,007.42
  4. Step 4: Simplify right side
    71,686.68x = 4,254,859,469.38
  5. Step 5: Solve for x
    x = 4,254,859,469.38/71,686.68
  6. Step 6: Final answer
    x = 59,353.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.