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Finding the Fourth Proportional to 265,838.09, 398,689.09 and 78,805.85

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Solution

The fourth proportional to 265,838.09, 398,689.09 and 78,805.85 is: 118,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,838.09 : 398,689.09 = 78,805.85 : x
  2. Step 2: Convert to fraction form
    265,838.09/398,689.09 = 78,805.85/x
  3. Step 3: Cross multiply
    265,838.09x = 398,689.09 × 78,805.85
  4. Step 4: Simplify right side
    265,838.09x = 31,419,030,432.72
  5. Step 5: Solve for x
    x = 31,419,030,432.72/265,838.09
  6. Step 6: Final answer
    x = 118,188.60

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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.