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Finding the Fourth Proportional to 141,217.88, 194,882.02 and 77,557

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Solution

The fourth proportional to 141,217.88, 194,882.02 and 77,557 is: 107,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,217.88 : 194,882.02 = 77,557 : x
  2. Step 2: Convert to fraction form
    141,217.88/194,882.02 = 77,557/x
  3. Step 3: Cross multiply
    141,217.88x = 194,882.02 × 77,557
  4. Step 4: Simplify right side
    141,217.88x = 15,114,464,825.14
  5. Step 5: Solve for x
    x = 15,114,464,825.14/141,217.88
  6. Step 6: Final answer
    x = 107,029.40

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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.