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Finding the Fourth Proportional to 118,287.54, 177,230.84 and 71,442

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Solution

The fourth proportional to 118,287.54, 177,230.84 and 71,442 is: 107,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,287.54 : 177,230.84 = 71,442 : x
  2. Step 2: Convert to fraction form
    118,287.54/177,230.84 = 71,442/x
  3. Step 3: Cross multiply
    118,287.54x = 177,230.84 × 71,442
  4. Step 4: Simplify right side
    118,287.54x = 12,661,725,314.07
  5. Step 5: Solve for x
    x = 12,661,725,314.07/118,287.54
  6. Step 6: Final answer
    x = 107,041.92

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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.