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Finding the Fourth Proportional to 75,264.88, 112,897.50 and 19,105

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Solution

The fourth proportional to 75,264.88, 112,897.50 and 19,105 is: 28,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,264.88 : 112,897.50 = 19,105 : x
  2. Step 2: Convert to fraction form
    75,264.88/112,897.50 = 19,105/x
  3. Step 3: Cross multiply
    75,264.88x = 112,897.50 × 19,105
  4. Step 4: Simplify right side
    75,264.88x = 2,156,906,737.50
  5. Step 5: Solve for x
    x = 2,156,906,737.50/75,264.88
  6. Step 6: Final answer
    x = 28,657.55

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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.