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Finding the Fourth Proportional to 75,127, 112,729.38 and 38,191

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Solution

The fourth proportional to 75,127, 112,729.38 and 38,191 is: 57,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127 : 112,729.38 = 38,191 : x
  2. Step 2: Convert to fraction form
    75,127/112,729.38 = 38,191/x
  3. Step 3: Cross multiply
    75,127x = 112,729.38 × 38,191
  4. Step 4: Simplify right side
    75,127x = 4,305,247,751.58
  5. Step 5: Solve for x
    x = 4,305,247,751.58/75,127
  6. Step 6: Final answer
    x = 57,306.26

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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.