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Finding the Fourth Proportional to 265,729.78, 398,596.11 and 78,742.90

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Solution

The fourth proportional to 265,729.78, 398,596.11 and 78,742.90 is: 118,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,729.78 : 398,596.11 = 78,742.90 : x
  2. Step 2: Convert to fraction form
    265,729.78/398,596.11 = 78,742.90/x
  3. Step 3: Cross multiply
    265,729.78x = 398,596.11 × 78,742.90
  4. Step 4: Simplify right side
    265,729.78x = 31,386,613,630.12
  5. Step 5: Solve for x
    x = 31,386,613,630.12/265,729.78
  6. Step 6: Final answer
    x = 118,114.78

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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.