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Finding the Fourth Proportional to 75,192.75, 112,477.52 and 57,288

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Solution

The fourth proportional to 75,192.75, 112,477.52 and 57,288 is: 85,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192.75 : 112,477.52 = 57,288 : x
  2. Step 2: Convert to fraction form
    75,192.75/112,477.52 = 57,288/x
  3. Step 3: Cross multiply
    75,192.75x = 112,477.52 × 57,288
  4. Step 4: Simplify right side
    75,192.75x = 6,443,612,308.98
  5. Step 5: Solve for x
    x = 6,443,612,308.98/75,192.75
  6. Step 6: Final answer
    x = 85,694.60

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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.