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Finding the Fourth Proportional to 142,124.64, 196,132 and 78,462.56

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Solution

The fourth proportional to 142,124.64, 196,132 and 78,462.56 is: 108,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.64 : 196,132 = 78,462.56 : x
  2. Step 2: Convert to fraction form
    142,124.64/196,132 = 78,462.56/x
  3. Step 3: Cross multiply
    142,124.64x = 196,132 × 78,462.56
  4. Step 4: Simplify right side
    142,124.64x = 15,389,018,817.92
  5. Step 5: Solve for x
    x = 15,389,018,817.92/142,124.64
  6. Step 6: Final answer
    x = 108,278.33

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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.