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Finding the Fourth Proportional to 85,230.80, 127,865.40 and 50,152.40

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Solution

The fourth proportional to 85,230.80, 127,865.40 and 50,152.40 is: 75,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,230.80 : 127,865.40 = 50,152.40 : x
  2. Step 2: Convert to fraction form
    85,230.80/127,865.40 = 50,152.40/x
  3. Step 3: Cross multiply
    85,230.80x = 127,865.40 × 50,152.40
  4. Step 4: Simplify right side
    85,230.80x = 6,412,756,686.96
  5. Step 5: Solve for x
    x = 6,412,756,686.96/85,230.80
  6. Step 6: Final answer
    x = 75,239.90

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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.