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Finding the Fourth Proportional to 85,376.80, 127,978.80 and 50,298.40

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Solution

The fourth proportional to 85,376.80, 127,978.80 and 50,298.40 is: 75,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.80 : 127,978.80 = 50,298.40 : x
  2. Step 2: Convert to fraction form
    85,376.80/127,978.80 = 50,298.40/x
  3. Step 3: Cross multiply
    85,376.80x = 127,978.80 × 50,298.40
  4. Step 4: Simplify right side
    85,376.80x = 6,437,128,873.92
  5. Step 5: Solve for x
    x = 6,437,128,873.92/85,376.80
  6. Step 6: Final answer
    x = 75,396.70

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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.