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Finding the Fourth Proportional to 101,178.85, 151,810.80 and 54,377.05

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Solution

The fourth proportional to 101,178.85, 151,810.80 and 54,377.05 is: 81,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178.85 : 151,810.80 = 54,377.05 : x
  2. Step 2: Convert to fraction form
    101,178.85/151,810.80 = 54,377.05/x
  3. Step 3: Cross multiply
    101,178.85x = 151,810.80 × 54,377.05
  4. Step 4: Simplify right side
    101,178.85x = 8,255,023,462.14
  5. Step 5: Solve for x
    x = 8,255,023,462.14/101,178.85
  6. Step 6: Final answer
    x = 81,588.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.