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Finding the Fourth Proportional to 75,884, 104,719.98 and 42,350

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Solution

The fourth proportional to 75,884, 104,719.98 and 42,350 is: 58,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884 : 104,719.98 = 42,350 : x
  2. Step 2: Convert to fraction form
    75,884/104,719.98 = 42,350/x
  3. Step 3: Cross multiply
    75,884x = 104,719.98 × 42,350
  4. Step 4: Simplify right side
    75,884x = 4,434,891,153
  5. Step 5: Solve for x
    x = 4,434,891,153/75,884
  6. Step 6: Final answer
    x = 58,443.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.