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Finding the Fourth Proportional to 142,562, 196,508.92 and 112,299.44

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Solution

The fourth proportional to 142,562, 196,508.92 and 112,299.44 is: 154,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,562 : 196,508.92 = 112,299.44 : x
  2. Step 2: Convert to fraction form
    142,562/196,508.92 = 112,299.44/x
  3. Step 3: Cross multiply
    142,562x = 196,508.92 × 112,299.44
  4. Step 4: Simplify right side
    142,562x = 22,067,841,671.00
  5. Step 5: Solve for x
    x = 22,067,841,671.00/142,562
  6. Step 6: Final answer
    x = 154,794.70

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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.