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Finding the Fourth Proportional to 98,381.30, 135,732.12 and 55,353.86

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Solution

The fourth proportional to 98,381.30, 135,732.12 and 55,353.86 is: 76,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381.30 : 135,732.12 = 55,353.86 : x
  2. Step 2: Convert to fraction form
    98,381.30/135,732.12 = 55,353.86/x
  3. Step 3: Cross multiply
    98,381.30x = 135,732.12 × 55,353.86
  4. Step 4: Simplify right side
    98,381.30x = 7,513,296,767.98
  5. Step 5: Solve for x
    x = 7,513,296,767.98/98,381.30
  6. Step 6: Final answer
    x = 76,369.16

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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.