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Finding the Fourth Proportional to 82,798.11, 124,227.18 and 51,171.30

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Solution

The fourth proportional to 82,798.11, 124,227.18 and 51,171.30 is: 76,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,798.11 : 124,227.18 = 51,171.30 : x
  2. Step 2: Convert to fraction form
    82,798.11/124,227.18 = 51,171.30/x
  3. Step 3: Cross multiply
    82,798.11x = 124,227.18 × 51,171.30
  4. Step 4: Simplify right side
    82,798.11x = 6,356,866,295.93
  5. Step 5: Solve for x
    x = 6,356,866,295.93/82,798.11
  6. Step 6: Final answer
    x = 76,775.50

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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.