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Finding the Fourth Proportional to 100,306.14, 138,419.46 and 54,983.13

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Solution

The fourth proportional to 100,306.14, 138,419.46 and 54,983.13 is: 75,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306.14 : 138,419.46 = 54,983.13 : x
  2. Step 2: Convert to fraction form
    100,306.14/138,419.46 = 54,983.13/x
  3. Step 3: Cross multiply
    100,306.14x = 138,419.46 × 54,983.13
  4. Step 4: Simplify right side
    100,306.14x = 7,610,735,163.71
  5. Step 5: Solve for x
    x = 7,610,735,163.71/100,306.14
  6. Step 6: Final answer
    x = 75,875.07

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1.5x scale

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.