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Finding the Fourth Proportional to 142,442.56, 196,562.76 and 77,898.96

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Solution

The fourth proportional to 142,442.56, 196,562.76 and 77,898.96 is: 107,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,442.56 : 196,562.76 = 77,898.96 : x
  2. Step 2: Convert to fraction form
    142,442.56/196,562.76 = 77,898.96/x
  3. Step 3: Cross multiply
    142,442.56x = 196,562.76 × 77,898.96
  4. Step 4: Simplify right side
    142,442.56x = 15,312,034,578.73
  5. Step 5: Solve for x
    x = 15,312,034,578.73/142,442.56
  6. Step 6: Final answer
    x = 107,496.20

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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.