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Finding the Fourth Proportional to 141,381.68, 212,101.68 and 47,885

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Solution

The fourth proportional to 141,381.68, 212,101.68 and 47,885 is: 71,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,381.68 : 212,101.68 = 47,885 : x
  2. Step 2: Convert to fraction form
    141,381.68/212,101.68 = 47,885/x
  3. Step 3: Cross multiply
    141,381.68x = 212,101.68 × 47,885
  4. Step 4: Simplify right side
    141,381.68x = 10,156,488,946.80
  5. Step 5: Solve for x
    x = 10,156,488,946.80/141,381.68
  6. Step 6: Final answer
    x = 71,837.38

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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.