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Finding the Fourth Proportional to 138,187.58, 207,281.38 and 38,347.80

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Solution

The fourth proportional to 138,187.58, 207,281.38 and 38,347.80 is: 57,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,187.58 : 207,281.38 = 38,347.80 : x
  2. Step 2: Convert to fraction form
    138,187.58/207,281.38 = 38,347.80/x
  3. Step 3: Cross multiply
    138,187.58x = 207,281.38 × 38,347.80
  4. Step 4: Simplify right side
    138,187.58x = 7,948,784,903.96
  5. Step 5: Solve for x
    x = 7,948,784,903.96/138,187.58
  6. Step 6: Final answer
    x = 57,521.70

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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.