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Finding the Fourth Proportional to 71,660.20, 107,342.46 and 41,988

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Solution

The fourth proportional to 71,660.20, 107,342.46 and 41,988 is: 62,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,660.20 : 107,342.46 = 41,988 : x
  2. Step 2: Convert to fraction form
    71,660.20/107,342.46 = 41,988/x
  3. Step 3: Cross multiply
    71,660.20x = 107,342.46 × 41,988
  4. Step 4: Simplify right side
    71,660.20x = 4,507,095,210.48
  5. Step 5: Solve for x
    x = 4,507,095,210.48/71,660.20
  6. Step 6: Final answer
    x = 62,895.38

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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.