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Finding the Fourth Proportional to 97,612.80, 134,704.80 and 55,171.20

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Solution

The fourth proportional to 97,612.80, 134,704.80 and 55,171.20 is: 76,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,612.80 : 134,704.80 = 55,171.20 : x
  2. Step 2: Convert to fraction form
    97,612.80/134,704.80 = 55,171.20/x
  3. Step 3: Cross multiply
    97,612.80x = 134,704.80 × 55,171.20
  4. Step 4: Simplify right side
    97,612.80x = 7,431,825,461.76
  5. Step 5: Solve for x
    x = 7,431,825,461.76/97,612.80
  6. Step 6: Final answer
    x = 76,135.77

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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.