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Finding the Fourth Proportional to 85,411.60, 127,771.80 and 75,043.60

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Solution

The fourth proportional to 85,411.60, 127,771.80 and 75,043.60 is: 112,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.60 : 127,771.80 = 75,043.60 : x
  2. Step 2: Convert to fraction form
    85,411.60/127,771.80 = 75,043.60/x
  3. Step 3: Cross multiply
    85,411.60x = 127,771.80 × 75,043.60
  4. Step 4: Simplify right side
    85,411.60x = 9,588,455,850.48
  5. Step 5: Solve for x
    x = 9,588,455,850.48/85,411.60
  6. Step 6: Final answer
    x = 112,261.75

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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.