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Finding the Fourth Proportional to 84,164, 126,246.96 and 21,830.72

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Solution

The fourth proportional to 84,164, 126,246.96 and 21,830.72 is: 32,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 126,246.96 = 21,830.72 : x
  2. Step 2: Convert to fraction form
    84,164/126,246.96 = 21,830.72/x
  3. Step 3: Cross multiply
    84,164x = 126,246.96 × 21,830.72
  4. Step 4: Simplify right side
    84,164x = 2,756,062,034.61
  5. Step 5: Solve for x
    x = 2,756,062,034.61/84,164
  6. Step 6: Final answer
    x = 32,746.33

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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.