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Finding the Fourth Proportional to 82,775.64, 124,347.96 and 51,209.10

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Solution

The fourth proportional to 82,775.64, 124,347.96 and 51,209.10 is: 76,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,775.64 : 124,347.96 = 51,209.10 : x
  2. Step 2: Convert to fraction form
    82,775.64/124,347.96 = 51,209.10/x
  3. Step 3: Cross multiply
    82,775.64x = 124,347.96 × 51,209.10
  4. Step 4: Simplify right side
    82,775.64x = 6,367,747,118.44
  5. Step 5: Solve for x
    x = 6,367,747,118.44/82,775.64
  6. Step 6: Final answer
    x = 76,927.79

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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.