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Finding the Fourth Proportional to 97,999.30, 135,269.49 and 77,891.86

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Solution

The fourth proportional to 97,999.30, 135,269.49 and 77,891.86 is: 107,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,999.30 : 135,269.49 = 77,891.86 : x
  2. Step 2: Convert to fraction form
    97,999.30/135,269.49 = 77,891.86/x
  3. Step 3: Cross multiply
    97,999.30x = 135,269.49 × 77,891.86
  4. Step 4: Simplify right side
    97,999.30x = 10,536,392,177.35
  5. Step 5: Solve for x
    x = 10,536,392,177.35/97,999.30
  6. Step 6: Final answer
    x = 107,514.97

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1.5x scale

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.