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Finding the Fourth Proportional to 142,428.56, 213,642.57 and 53,701.97

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Solution

The fourth proportional to 142,428.56, 213,642.57 and 53,701.97 is: 80,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,428.56 : 213,642.57 = 53,701.97 : x
  2. Step 2: Convert to fraction form
    142,428.56/213,642.57 = 53,701.97/x
  3. Step 3: Cross multiply
    142,428.56x = 213,642.57 × 53,701.97
  4. Step 4: Simplify right side
    142,428.56x = 11,473,026,884.86
  5. Step 5: Solve for x
    x = 11,473,026,884.86/142,428.56
  6. Step 6: Final answer
    x = 80,552.85

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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.