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Finding the Fourth Proportional to 252,258.88, 378,427.20 and 86,008

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Solution

The fourth proportional to 252,258.88, 378,427.20 and 86,008 is: 129,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,258.88 : 378,427.20 = 86,008 : x
  2. Step 2: Convert to fraction form
    252,258.88/378,427.20 = 86,008/x
  3. Step 3: Cross multiply
    252,258.88x = 378,427.20 × 86,008
  4. Step 4: Simplify right side
    252,258.88x = 32,547,766,617.60
  5. Step 5: Solve for x
    x = 32,547,766,617.60/252,258.88
  6. Step 6: Final answer
    x = 129,025.26

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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.