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Finding the Fourth Proportional to 132,712.70, 199,069.05 and 82,946.30

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Solution

The fourth proportional to 132,712.70, 199,069.05 and 82,946.30 is: 124,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,712.70 : 199,069.05 = 82,946.30 : x
  2. Step 2: Convert to fraction form
    132,712.70/199,069.05 = 82,946.30/x
  3. Step 3: Cross multiply
    132,712.70x = 199,069.05 × 82,946.30
  4. Step 4: Simplify right side
    132,712.70x = 16,512,041,142.02
  5. Step 5: Solve for x
    x = 16,512,041,142.02/132,712.70
  6. Step 6: Final answer
    x = 124,419.45

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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.