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Finding the Fourth Proportional to 103,250, 142,508.50 and 60,822.20

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Solution

The fourth proportional to 103,250, 142,508.50 and 60,822.20 is: 83,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,250 : 142,508.50 = 60,822.20 : x
  2. Step 2: Convert to fraction form
    103,250/142,508.50 = 60,822.20/x
  3. Step 3: Cross multiply
    103,250x = 142,508.50 × 60,822.20
  4. Step 4: Simplify right side
    103,250x = 8,667,680,488.70
  5. Step 5: Solve for x
    x = 8,667,680,488.70/103,250
  6. Step 6: Final answer
    x = 83,948.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.