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Finding the Fourth Proportional to 82,101.80, 123,152.70 and 19,772.30

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Solution

The fourth proportional to 82,101.80, 123,152.70 and 19,772.30 is: 29,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101.80 : 123,152.70 = 19,772.30 : x
  2. Step 2: Convert to fraction form
    82,101.80/123,152.70 = 19,772.30/x
  3. Step 3: Cross multiply
    82,101.80x = 123,152.70 × 19,772.30
  4. Step 4: Simplify right side
    82,101.80x = 2,435,012,512.24
  5. Step 5: Solve for x
    x = 2,435,012,512.24/82,101.80
  6. Step 6: Final answer
    x = 29,658.45

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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.