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Finding the Fourth Proportional to 87,264, 120,420 and 53,233.20

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Solution

The fourth proportional to 87,264, 120,420 and 53,233.20 is: 73,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 120,420 = 53,233.20 : x
  2. Step 2: Convert to fraction form
    87,264/120,420 = 53,233.20/x
  3. Step 3: Cross multiply
    87,264x = 120,420 × 53,233.20
  4. Step 4: Simplify right side
    87,264x = 6,410,341,944
  5. Step 5: Solve for x
    x = 6,410,341,944/87,264
  6. Step 6: Final answer
    x = 73,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.