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Finding the Fourth Proportional to 147,930.80, 221,896.20 and 42,753.20

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Solution

The fourth proportional to 147,930.80, 221,896.20 and 42,753.20 is: 64,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930.80 : 221,896.20 = 42,753.20 : x
  2. Step 2: Convert to fraction form
    147,930.80/221,896.20 = 42,753.20/x
  3. Step 3: Cross multiply
    147,930.80x = 221,896.20 × 42,753.20
  4. Step 4: Simplify right side
    147,930.80x = 9,486,772,617.84
  5. Step 5: Solve for x
    x = 9,486,772,617.84/147,930.80
  6. Step 6: Final answer
    x = 64,129.80

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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.