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Finding the Fourth Proportional to 138,682.20, 208,023.30 and 103,690.20

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Solution

The fourth proportional to 138,682.20, 208,023.30 and 103,690.20 is: 155,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,682.20 : 208,023.30 = 103,690.20 : x
  2. Step 2: Convert to fraction form
    138,682.20/208,023.30 = 103,690.20/x
  3. Step 3: Cross multiply
    138,682.20x = 208,023.30 × 103,690.20
  4. Step 4: Simplify right side
    138,682.20x = 21,569,977,581.66
  5. Step 5: Solve for x
    x = 21,569,977,581.66/138,682.20
  6. Step 6: Final answer
    x = 155,535.30

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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.