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Finding the Fourth Proportional to 141,293.88, 194,990.40 and 77,634

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Solution

The fourth proportional to 141,293.88, 194,990.40 and 77,634 is: 107,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,293.88 : 194,990.40 = 77,634 : x
  2. Step 2: Convert to fraction form
    141,293.88/194,990.40 = 77,634/x
  3. Step 3: Cross multiply
    141,293.88x = 194,990.40 × 77,634
  4. Step 4: Simplify right side
    141,293.88x = 15,137,884,713.60
  5. Step 5: Solve for x
    x = 15,137,884,713.60/141,293.88
  6. Step 6: Final answer
    x = 107,137.58

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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.