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Finding the Fourth Proportional to 75,099, 112,648.50 and 19,695

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Solution

The fourth proportional to 75,099, 112,648.50 and 19,695 is: 29,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099 : 112,648.50 = 19,695 : x
  2. Step 2: Convert to fraction form
    75,099/112,648.50 = 19,695/x
  3. Step 3: Cross multiply
    75,099x = 112,648.50 × 19,695
  4. Step 4: Simplify right side
    75,099x = 2,218,612,207.50
  5. Step 5: Solve for x
    x = 2,218,612,207.50/75,099
  6. Step 6: Final answer
    x = 29,542.50

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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.