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Finding the Fourth Proportional to 75,165, 112,754.16 and 19,761

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Solution

The fourth proportional to 75,165, 112,754.16 and 19,761 is: 29,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165 : 112,754.16 = 19,761 : x
  2. Step 2: Convert to fraction form
    75,165/112,754.16 = 19,761/x
  3. Step 3: Cross multiply
    75,165x = 112,754.16 × 19,761
  4. Step 4: Simplify right side
    75,165x = 2,228,134,955.76
  5. Step 5: Solve for x
    x = 2,228,134,955.76/75,165
  6. Step 6: Final answer
    x = 29,643.25

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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.