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Finding the Fourth Proportional to 141,048.92, 194,647.70 and 77,386.97

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Solution

The fourth proportional to 141,048.92, 194,647.70 and 77,386.97 is: 106,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048.92 : 194,647.70 = 77,386.97 : x
  2. Step 2: Convert to fraction form
    141,048.92/194,647.70 = 77,386.97/x
  3. Step 3: Cross multiply
    141,048.92x = 194,647.70 × 77,386.97
  4. Step 4: Simplify right side
    141,048.92x = 15,063,195,820.15
  5. Step 5: Solve for x
    x = 15,063,195,820.15/141,048.92
  6. Step 6: Final answer
    x = 106,794.12

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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.