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Finding the Fourth Proportional to 82,585.30, 114,015 and 54,373

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Solution

The fourth proportional to 82,585.30, 114,015 and 54,373 is: 75,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,585.30 : 114,015 = 54,373 : x
  2. Step 2: Convert to fraction form
    82,585.30/114,015 = 54,373/x
  3. Step 3: Cross multiply
    82,585.30x = 114,015 × 54,373
  4. Step 4: Simplify right side
    82,585.30x = 6,199,337,595
  5. Step 5: Solve for x
    x = 6,199,337,595/82,585.30
  6. Step 6: Final answer
    x = 75,065.87

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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.