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Finding the Fourth Proportional to 78,518.44, 117,760.98 and 25,915.40

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Solution

The fourth proportional to 78,518.44, 117,760.98 and 25,915.40 is: 38,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,518.44 : 117,760.98 = 25,915.40 : x
  2. Step 2: Convert to fraction form
    78,518.44/117,760.98 = 25,915.40/x
  3. Step 3: Cross multiply
    78,518.44x = 117,760.98 × 25,915.40
  4. Step 4: Simplify right side
    78,518.44x = 3,051,822,901.09
  5. Step 5: Solve for x
    x = 3,051,822,901.09/78,518.44
  6. Step 6: Final answer
    x = 38,867.59

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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.