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Finding the Fourth Proportional to 142,425.56, 196,530.12 and 78,754.64

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Solution

The fourth proportional to 142,425.56, 196,530.12 and 78,754.64 is: 108,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425.56 : 196,530.12 = 78,754.64 : x
  2. Step 2: Convert to fraction form
    142,425.56/196,530.12 = 78,754.64/x
  3. Step 3: Cross multiply
    142,425.56x = 196,530.12 × 78,754.64
  4. Step 4: Simplify right side
    142,425.56x = 15,477,658,849.76
  5. Step 5: Solve for x
    x = 15,477,658,849.76/142,425.56
  6. Step 6: Final answer
    x = 108,671.92

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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.