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Finding the Fourth Proportional to 86,978.20, 130,175.70 and 76,480.60

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Solution

The fourth proportional to 86,978.20, 130,175.70 and 76,480.60 is: 114,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.20 : 130,175.70 = 76,480.60 : x
  2. Step 2: Convert to fraction form
    86,978.20/130,175.70 = 76,480.60/x
  3. Step 3: Cross multiply
    86,978.20x = 130,175.70 × 76,480.60
  4. Step 4: Simplify right side
    86,978.20x = 9,955,915,641.42
  5. Step 5: Solve for x
    x = 9,955,915,641.42/86,978.20
  6. Step 6: Final answer
    x = 114,464.49

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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.