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Finding the Fourth Proportional to 132,248, 198,373.08 and 49,142

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Solution

The fourth proportional to 132,248, 198,373.08 and 49,142 is: 73,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,248 : 198,373.08 = 49,142 : x
  2. Step 2: Convert to fraction form
    132,248/198,373.08 = 49,142/x
  3. Step 3: Cross multiply
    132,248x = 198,373.08 × 49,142
  4. Step 4: Simplify right side
    132,248x = 9,748,449,897.36
  5. Step 5: Solve for x
    x = 9,748,449,897.36/132,248
  6. Step 6: Final answer
    x = 73,713.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.