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Finding the Fourth Proportional to 100,508.76, 150,785.01 and 30,386.25

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Solution

The fourth proportional to 100,508.76, 150,785.01 and 30,386.25 is: 45,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,508.76 : 150,785.01 = 30,386.25 : x
  2. Step 2: Convert to fraction form
    100,508.76/150,785.01 = 30,386.25/x
  3. Step 3: Cross multiply
    100,508.76x = 150,785.01 × 30,386.25
  4. Step 4: Simplify right side
    100,508.76x = 4,581,791,010.11
  5. Step 5: Solve for x
    x = 4,581,791,010.11/100,508.76
  6. Step 6: Final answer
    x = 45,585.99

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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.