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Finding the Fourth Proportional to 147,003.78, 220,512.96 and 41,830.14

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Solution

The fourth proportional to 147,003.78, 220,512.96 and 41,830.14 is: 62,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,003.78 : 220,512.96 = 41,830.14 : x
  2. Step 2: Convert to fraction form
    147,003.78/220,512.96 = 41,830.14/x
  3. Step 3: Cross multiply
    147,003.78x = 220,512.96 × 41,830.14
  4. Step 4: Simplify right side
    147,003.78x = 9,224,087,988.61
  5. Step 5: Solve for x
    x = 9,224,087,988.61/147,003.78
  6. Step 6: Final answer
    x = 62,747.28

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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.