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Finding the Fourth Proportional to 132,970.32, 199,397.12 and 49,806

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Solution

The fourth proportional to 132,970.32, 199,397.12 and 49,806 is: 74,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.32 : 199,397.12 = 49,806 : x
  2. Step 2: Convert to fraction form
    132,970.32/199,397.12 = 49,806/x
  3. Step 3: Cross multiply
    132,970.32x = 199,397.12 × 49,806
  4. Step 4: Simplify right side
    132,970.32x = 9,931,172,709.69
  5. Step 5: Solve for x
    x = 9,931,172,709.69/132,970.32
  6. Step 6: Final answer
    x = 74,687.14

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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.