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Finding the Fourth Proportional to 86,978.25, 130,489.25 and 24,648.75

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Solution

The fourth proportional to 86,978.25, 130,489.25 and 24,648.75 is: 36,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.25 : 130,489.25 = 24,648.75 : x
  2. Step 2: Convert to fraction form
    86,978.25/130,489.25 = 24,648.75/x
  3. Step 3: Cross multiply
    86,978.25x = 130,489.25 × 24,648.75
  4. Step 4: Simplify right side
    86,978.25x = 3,216,396,777.69
  5. Step 5: Solve for x
    x = 3,216,396,777.69/86,978.25
  6. Step 6: Final answer
    x = 36,979.32

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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.