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Finding the Fourth Proportional to 89,115.17, 122,978.86 and 48,831.44

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Solution

The fourth proportional to 89,115.17, 122,978.86 and 48,831.44 is: 67,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,115.17 : 122,978.86 = 48,831.44 : x
  2. Step 2: Convert to fraction form
    89,115.17/122,978.86 = 48,831.44/x
  3. Step 3: Cross multiply
    89,115.17x = 122,978.86 × 48,831.44
  4. Step 4: Simplify right side
    89,115.17x = 6,005,234,086.39
  5. Step 5: Solve for x
    x = 6,005,234,086.39/89,115.17
  6. Step 6: Final answer
    x = 67,387.34

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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.