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Finding the Fourth Proportional to 76,725, 115,079.29 and 20,570.74

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Solution

The fourth proportional to 76,725, 115,079.29 and 20,570.74 is: 30,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725 : 115,079.29 = 20,570.74 : x
  2. Step 2: Convert to fraction form
    76,725/115,079.29 = 20,570.74/x
  3. Step 3: Cross multiply
    76,725x = 115,079.29 × 20,570.74
  4. Step 4: Simplify right side
    76,725x = 2,367,266,153.97
  5. Step 5: Solve for x
    x = 2,367,266,153.97/76,725
  6. Step 6: Final answer
    x = 30,853.91

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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.