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Finding the Fourth Proportional to 97,832.90, 135,009.90 and 55,399.70

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Solution

The fourth proportional to 97,832.90, 135,009.90 and 55,399.70 is: 76,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,832.90 : 135,009.90 = 55,399.70 : x
  2. Step 2: Convert to fraction form
    97,832.90/135,009.90 = 55,399.70/x
  3. Step 3: Cross multiply
    97,832.90x = 135,009.90 × 55,399.70
  4. Step 4: Simplify right side
    97,832.90x = 7,479,507,281.98
  5. Step 5: Solve for x
    x = 7,479,507,281.98/97,832.90
  6. Step 6: Final answer
    x = 76,451.87

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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.