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Finding the Fourth Proportional to 90,843.86, 136,266.40 and 31,679.30

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Solution

The fourth proportional to 90,843.86, 136,266.40 and 31,679.30 is: 47,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,843.86 : 136,266.40 = 31,679.30 : x
  2. Step 2: Convert to fraction form
    90,843.86/136,266.40 = 31,679.30/x
  3. Step 3: Cross multiply
    90,843.86x = 136,266.40 × 31,679.30
  4. Step 4: Simplify right side
    90,843.86x = 4,316,824,165.52
  5. Step 5: Solve for x
    x = 4,316,824,165.52/90,843.86
  6. Step 6: Final answer
    x = 47,519.16

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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.