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Finding the Fourth Proportional to 132,570.63, 198,855.95 and 77,127.75

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Solution

The fourth proportional to 132,570.63, 198,855.95 and 77,127.75 is: 115,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,570.63 : 198,855.95 = 77,127.75 : x
  2. Step 2: Convert to fraction form
    132,570.63/198,855.95 = 77,127.75/x
  3. Step 3: Cross multiply
    132,570.63x = 198,855.95 × 77,127.75
  4. Step 4: Simplify right side
    132,570.63x = 15,337,311,611.97
  5. Step 5: Solve for x
    x = 15,337,311,611.97/132,570.63
  6. Step 6: Final answer
    x = 115,691.63

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1.5x scale

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.