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Finding the Fourth Proportional to 78,016.40, 117,053.40 and 25,427.60

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Solution

The fourth proportional to 78,016.40, 117,053.40 and 25,427.60 is: 38,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.40 : 117,053.40 = 25,427.60 : x
  2. Step 2: Convert to fraction form
    78,016.40/117,053.40 = 25,427.60/x
  3. Step 3: Cross multiply
    78,016.40x = 117,053.40 × 25,427.60
  4. Step 4: Simplify right side
    78,016.40x = 2,976,387,033.84
  5. Step 5: Solve for x
    x = 2,976,387,033.84/78,016.40
  6. Step 6: Final answer
    x = 38,150.79

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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.