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Finding the Fourth Proportional to 265,218.16, 397,887.38 and 87,724.88

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Solution

The fourth proportional to 265,218.16, 397,887.38 and 87,724.88 is: 131,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,218.16 : 397,887.38 = 87,724.88 : x
  2. Step 2: Convert to fraction form
    265,218.16/397,887.38 = 87,724.88/x
  3. Step 3: Cross multiply
    265,218.16x = 397,887.38 × 87,724.88
  4. Step 4: Simplify right side
    265,218.16x = 34,904,623,549.08
  5. Step 5: Solve for x
    x = 34,904,623,549.08/265,218.16
  6. Step 6: Final answer
    x = 131,607.22

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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.