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Finding the Fourth Proportional to 97,843.32, 135,026.54 and 55,401.86

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Solution

The fourth proportional to 97,843.32, 135,026.54 and 55,401.86 is: 76,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.32 : 135,026.54 = 55,401.86 : x
  2. Step 2: Convert to fraction form
    97,843.32/135,026.54 = 55,401.86/x
  3. Step 3: Cross multiply
    97,843.32x = 135,026.54 × 55,401.86
  4. Step 4: Simplify right side
    97,843.32x = 7,480,720,513.22
  5. Step 5: Solve for x
    x = 7,480,720,513.22/97,843.32
  6. Step 6: Final answer
    x = 76,456.12

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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.