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Finding the Fourth Proportional to 78,466.85, 117,700.28 and 25,863.65

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Solution

The fourth proportional to 78,466.85, 117,700.28 and 25,863.65 is: 38,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.85 : 117,700.28 = 25,863.65 : x
  2. Step 2: Convert to fraction form
    78,466.85/117,700.28 = 25,863.65/x
  3. Step 3: Cross multiply
    78,466.85x = 117,700.28 × 25,863.65
  4. Step 4: Simplify right side
    78,466.85x = 3,044,158,717.50
  5. Step 5: Solve for x
    x = 3,044,158,717.50/78,466.85
  6. Step 6: Final answer
    x = 38,795.48

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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.