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Finding the Fourth Proportional to 265,713.72, 398,665.62 and 113,847

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Solution

The fourth proportional to 265,713.72, 398,665.62 and 113,847 is: 170,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,713.72 : 398,665.62 = 113,847 : x
  2. Step 2: Convert to fraction form
    265,713.72/398,665.62 = 113,847/x
  3. Step 3: Cross multiply
    265,713.72x = 398,665.62 × 113,847
  4. Step 4: Simplify right side
    265,713.72x = 45,386,884,840.14
  5. Step 5: Solve for x
    x = 45,386,884,840.14/265,713.72
  6. Step 6: Final answer
    x = 170,811.22

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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.