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Finding the Fourth Proportional to 185,425.80, 255,886.18 and 100,542.60

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Solution

The fourth proportional to 185,425.80, 255,886.18 and 100,542.60 is: 138,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,425.80 : 255,886.18 = 100,542.60 : x
  2. Step 2: Convert to fraction form
    185,425.80/255,886.18 = 100,542.60/x
  3. Step 3: Cross multiply
    185,425.80x = 255,886.18 × 100,542.60
  4. Step 4: Simplify right side
    185,425.80x = 25,727,461,841.27
  5. Step 5: Solve for x
    x = 25,727,461,841.27/185,425.80
  6. Step 6: Final answer
    x = 138,748.02

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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.