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Finding the Fourth Proportional to 82,865.32, 114,354.12 and 45,139.56

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Solution

The fourth proportional to 82,865.32, 114,354.12 and 45,139.56 is: 62,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.32 : 114,354.12 = 45,139.56 : x
  2. Step 2: Convert to fraction form
    82,865.32/114,354.12 = 45,139.56/x
  3. Step 3: Cross multiply
    82,865.32x = 114,354.12 × 45,139.56
  4. Step 4: Simplify right side
    82,865.32x = 5,161,894,660.99
  5. Step 5: Solve for x
    x = 5,161,894,660.99/82,865.32
  6. Step 6: Final answer
    x = 62,292.58

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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.