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Finding the Fourth Proportional to 265,789.12, 398,615.76 and 78,756.88

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Solution

The fourth proportional to 265,789.12, 398,615.76 and 78,756.88 is: 118,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,789.12 : 398,615.76 = 78,756.88 : x
  2. Step 2: Convert to fraction form
    265,789.12/398,615.76 = 78,756.88/x
  3. Step 3: Cross multiply
    265,789.12x = 398,615.76 × 78,756.88
  4. Step 4: Simplify right side
    265,789.12x = 31,393,733,576.43
  5. Step 5: Solve for x
    x = 31,393,733,576.43/265,789.12
  6. Step 6: Final answer
    x = 118,115.19

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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.