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Finding the Fourth Proportional to 72,751.74, 109,126.80 and 20,159.28

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Solution

The fourth proportional to 72,751.74, 109,126.80 and 20,159.28 is: 30,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,751.74 : 109,126.80 = 20,159.28 : x
  2. Step 2: Convert to fraction form
    72,751.74/109,126.80 = 20,159.28/x
  3. Step 3: Cross multiply
    72,751.74x = 109,126.80 × 20,159.28
  4. Step 4: Simplify right side
    72,751.74x = 2,199,917,716.70
  5. Step 5: Solve for x
    x = 2,199,917,716.70/72,751.74
  6. Step 6: Final answer
    x = 30,238.70

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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.