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Finding the Fourth Proportional to 142,116.62, 196,121.31 and 78,454.41

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Solution

The fourth proportional to 142,116.62, 196,121.31 and 78,454.41 is: 108,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.62 : 196,121.31 = 78,454.41 : x
  2. Step 2: Convert to fraction form
    142,116.62/196,121.31 = 78,454.41/x
  3. Step 3: Cross multiply
    142,116.62x = 196,121.31 × 78,454.41
  4. Step 4: Simplify right side
    142,116.62x = 15,386,581,664.48
  5. Step 5: Solve for x
    x = 15,386,581,664.48/142,116.62
  6. Step 6: Final answer
    x = 108,267.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.