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Finding the Fourth Proportional to 97,998.30, 135,268.11 and 77,890.86

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Solution

The fourth proportional to 97,998.30, 135,268.11 and 77,890.86 is: 107,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.30 : 135,268.11 = 77,890.86 : x
  2. Step 2: Convert to fraction form
    97,998.30/135,268.11 = 77,890.86/x
  3. Step 3: Cross multiply
    97,998.30x = 135,268.11 × 77,890.86
  4. Step 4: Simplify right side
    97,998.30x = 10,536,149,418.47
  5. Step 5: Solve for x
    x = 10,536,149,418.47/97,998.30
  6. Step 6: Final answer
    x = 107,513.59

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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.