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Finding the Fourth Proportional to 265,766.49, 398,581.70 and 78,734.25

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Solution

The fourth proportional to 265,766.49, 398,581.70 and 78,734.25 is: 118,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,766.49 : 398,581.70 = 78,734.25 : x
  2. Step 2: Convert to fraction form
    265,766.49/398,581.70 = 78,734.25/x
  3. Step 3: Cross multiply
    265,766.49x = 398,581.70 × 78,734.25
  4. Step 4: Simplify right side
    265,766.49x = 31,382,030,819.55
  5. Step 5: Solve for x
    x = 31,382,030,819.55/265,766.49
  6. Step 6: Final answer
    x = 118,081.22

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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.