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Finding the Fourth Proportional to 142,099.97, 196,097.97 and 78,437.79

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Solution

The fourth proportional to 142,099.97, 196,097.97 and 78,437.79 is: 108,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.97 : 196,097.97 = 78,437.79 : x
  2. Step 2: Convert to fraction form
    142,099.97/196,097.97 = 78,437.79/x
  3. Step 3: Cross multiply
    142,099.97x = 196,097.97 × 78,437.79
  4. Step 4: Simplify right side
    142,099.97x = 15,381,491,390.29
  5. Step 5: Solve for x
    x = 15,381,491,390.29/142,099.97
  6. Step 6: Final answer
    x = 108,244.16

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1.5x scale

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.