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Finding the Fourth Proportional to 138,649.68, 208,081.44 and 103,191.12

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Solution

The fourth proportional to 138,649.68, 208,081.44 and 103,191.12 is: 154,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.68 : 208,081.44 = 103,191.12 : x
  2. Step 2: Convert to fraction form
    138,649.68/208,081.44 = 103,191.12/x
  3. Step 3: Cross multiply
    138,649.68x = 208,081.44 × 103,191.12
  4. Step 4: Simplify right side
    138,649.68x = 21,472,156,844.81
  5. Step 5: Solve for x
    x = 21,472,156,844.81/138,649.68
  6. Step 6: Final answer
    x = 154,866.26

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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.