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Finding the Fourth Proportional to 265,734.03, 398,602.49 and 78,747.15

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Solution

The fourth proportional to 265,734.03, 398,602.49 and 78,747.15 is: 118,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734.03 : 398,602.49 = 78,747.15 : x
  2. Step 2: Convert to fraction form
    265,734.03/398,602.49 = 78,747.15/x
  3. Step 3: Cross multiply
    265,734.03x = 398,602.49 × 78,747.15
  4. Step 4: Simplify right side
    265,734.03x = 31,388,809,676.67
  5. Step 5: Solve for x
    x = 31,388,809,676.67/265,734.03
  6. Step 6: Final answer
    x = 118,121.15

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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.