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Finding the Fourth Proportional to 85,281.96, 127,756.71 and 51,919.28

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Solution

The fourth proportional to 85,281.96, 127,756.71 and 51,919.28 is: 77,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.96 : 127,756.71 = 51,919.28 : x
  2. Step 2: Convert to fraction form
    85,281.96/127,756.71 = 51,919.28/x
  3. Step 3: Cross multiply
    85,281.96x = 127,756.71 × 51,919.28
  4. Step 4: Simplify right side
    85,281.96x = 6,633,035,759.59
  5. Step 5: Solve for x
    x = 6,633,035,759.59/85,281.96
  6. Step 6: Final answer
    x = 77,777.71

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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.