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Finding the Fourth Proportional to 141,073.50, 194,671.92 and 77,415.39

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Solution

The fourth proportional to 141,073.50, 194,671.92 and 77,415.39 is: 106,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073.50 : 194,671.92 = 77,415.39 : x
  2. Step 2: Convert to fraction form
    141,073.50/194,671.92 = 77,415.39/x
  3. Step 3: Cross multiply
    141,073.50x = 194,671.92 × 77,415.39
  4. Step 4: Simplify right side
    141,073.50x = 15,070,602,608.85
  5. Step 5: Solve for x
    x = 15,070,602,608.85/141,073.50
  6. Step 6: Final answer
    x = 106,828.02

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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.