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Finding the Fourth Proportional to 82,790, 114,250.20 and 45,064.52

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Solution

The fourth proportional to 82,790, 114,250.20 and 45,064.52 is: 62,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,790 : 114,250.20 = 45,064.52 : x
  2. Step 2: Convert to fraction form
    82,790/114,250.20 = 45,064.52/x
  3. Step 3: Cross multiply
    82,790x = 114,250.20 × 45,064.52
  4. Step 4: Simplify right side
    82,790x = 5,148,630,422.90
  5. Step 5: Solve for x
    x = 5,148,630,422.90/82,790
  6. Step 6: Final answer
    x = 62,189.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.