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Finding the Fourth Proportional to 142,398.06, 213,629.49 and 75,803.10

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Solution

The fourth proportional to 142,398.06, 213,629.49 and 75,803.10 is: 113,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398.06 : 213,629.49 = 75,803.10 : x
  2. Step 2: Convert to fraction form
    142,398.06/213,629.49 = 75,803.10/x
  3. Step 3: Cross multiply
    142,398.06x = 213,629.49 × 75,803.10
  4. Step 4: Simplify right side
    142,398.06x = 16,193,777,593.42
  5. Step 5: Solve for x
    x = 16,193,777,593.42/142,398.06
  6. Step 6: Final answer
    x = 113,721.90

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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.