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Finding the Fourth Proportional to 86,867.70, 130,301.55 and 82,029.30

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Solution

The fourth proportional to 86,867.70, 130,301.55 and 82,029.30 is: 123,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,867.70 : 130,301.55 = 82,029.30 : x
  2. Step 2: Convert to fraction form
    86,867.70/130,301.55 = 82,029.30/x
  3. Step 3: Cross multiply
    86,867.70x = 130,301.55 × 82,029.30
  4. Step 4: Simplify right side
    86,867.70x = 10,688,544,935.42
  5. Step 5: Solve for x
    x = 10,688,544,935.42/86,867.70
  6. Step 6: Final answer
    x = 123,043.95

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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.