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Finding the Fourth Proportional to 137,690.40, 206,610.56 and 53,453.76

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Solution

The fourth proportional to 137,690.40, 206,610.56 and 53,453.76 is: 80,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,690.40 : 206,610.56 = 53,453.76 : x
  2. Step 2: Convert to fraction form
    137,690.40/206,610.56 = 53,453.76/x
  3. Step 3: Cross multiply
    137,690.40x = 206,610.56 × 53,453.76
  4. Step 4: Simplify right side
    137,690.40x = 11,044,111,287.71
  5. Step 5: Solve for x
    x = 11,044,111,287.71/137,690.40
  6. Step 6: Final answer
    x = 80,209.74

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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.