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Finding the Fourth Proportional to 82,124.47, 123,186.71 and 19,794.97

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Solution

The fourth proportional to 82,124.47, 123,186.71 and 19,794.97 is: 29,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.47 : 123,186.71 = 19,794.97 : x
  2. Step 2: Convert to fraction form
    82,124.47/123,186.71 = 19,794.97/x
  3. Step 3: Cross multiply
    82,124.47x = 123,186.71 × 19,794.97
  4. Step 4: Simplify right side
    82,124.47x = 2,438,477,228.85
  5. Step 5: Solve for x
    x = 2,438,477,228.85/82,124.47
  6. Step 6: Final answer
    x = 29,692.46

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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.