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Finding the Fourth Proportional to 75,272.97, 112,928.42 and 53,129.59

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Solution

The fourth proportional to 75,272.97, 112,928.42 and 53,129.59 is: 79,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,272.97 : 112,928.42 = 53,129.59 : x
  2. Step 2: Convert to fraction form
    75,272.97/112,928.42 = 53,129.59/x
  3. Step 3: Cross multiply
    75,272.97x = 112,928.42 × 53,129.59
  4. Step 4: Simplify right side
    75,272.97x = 5,999,840,927.93
  5. Step 5: Solve for x
    x = 5,999,840,927.93/75,272.97
  6. Step 6: Final answer
    x = 79,707.78

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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.