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Finding the Fourth Proportional to 265,047.90, 397,456.65 and 78,020.70

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Solution

The fourth proportional to 265,047.90, 397,456.65 and 78,020.70 is: 116,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,047.90 : 397,456.65 = 78,020.70 : x
  2. Step 2: Convert to fraction form
    265,047.90/397,456.65 = 78,020.70/x
  3. Step 3: Cross multiply
    265,047.90x = 397,456.65 × 78,020.70
  4. Step 4: Simplify right side
    265,047.90x = 31,009,846,052.66
  5. Step 5: Solve for x
    x = 31,009,846,052.66/265,047.90
  6. Step 6: Final answer
    x = 116,997.14

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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.