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Finding the Fourth Proportional to 75,000, 112,506.48 and 19,596

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Solution

The fourth proportional to 75,000, 112,506.48 and 19,596 is: 29,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000 : 112,506.48 = 19,596 : x
  2. Step 2: Convert to fraction form
    75,000/112,506.48 = 19,596/x
  3. Step 3: Cross multiply
    75,000x = 112,506.48 × 19,596
  4. Step 4: Simplify right side
    75,000x = 2,204,676,982.08
  5. Step 5: Solve for x
    x = 2,204,676,982.08/75,000
  6. Step 6: Final answer
    x = 29,395.69

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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.