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Finding the Fourth Proportional to 82,865.62, 114,354.75 and 45,142.30

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Solution

The fourth proportional to 82,865.62, 114,354.75 and 45,142.30 is: 62,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.62 : 114,354.75 = 45,142.30 : x
  2. Step 2: Convert to fraction form
    82,865.62/114,354.75 = 45,142.30/x
  3. Step 3: Cross multiply
    82,865.62x = 114,354.75 × 45,142.30
  4. Step 4: Simplify right side
    82,865.62x = 5,162,236,430.93
  5. Step 5: Solve for x
    x = 5,162,236,430.93/82,865.62
  6. Step 6: Final answer
    x = 62,296.48

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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.