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Finding the Fourth Proportional to 100,036, 149,937.12 and 55,641.76

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Solution

The fourth proportional to 100,036, 149,937.12 and 55,641.76 is: 83,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036 : 149,937.12 = 55,641.76 : x
  2. Step 2: Convert to fraction form
    100,036/149,937.12 = 55,641.76/x
  3. Step 3: Cross multiply
    100,036x = 149,937.12 × 55,641.76
  4. Step 4: Simplify right side
    100,036x = 8,342,765,246.13
  5. Step 5: Solve for x
    x = 8,342,765,246.13/100,036
  6. Step 6: Final answer
    x = 83,397.63

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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.