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Finding the Fourth Proportional to 90,036.78, 135,014.13 and 37,414.86

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Solution

The fourth proportional to 90,036.78, 135,014.13 and 37,414.86 is: 56,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,036.78 : 135,014.13 = 37,414.86 : x
  2. Step 2: Convert to fraction form
    90,036.78/135,014.13 = 37,414.86/x
  3. Step 3: Cross multiply
    90,036.78x = 135,014.13 × 37,414.86
  4. Step 4: Simplify right side
    90,036.78x = 5,051,534,771.97
  5. Step 5: Solve for x
    x = 5,051,534,771.97/90,036.78
  6. Step 6: Final answer
    x = 56,105.24

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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.