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Finding the Fourth Proportional to 141,048.92, 194,640.96 and 77,385.32

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Solution

The fourth proportional to 141,048.92, 194,640.96 and 77,385.32 is: 106,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048.92 : 194,640.96 = 77,385.32 : x
  2. Step 2: Convert to fraction form
    141,048.92/194,640.96 = 77,385.32/x
  3. Step 3: Cross multiply
    141,048.92x = 194,640.96 × 77,385.32
  4. Step 4: Simplify right side
    141,048.92x = 15,062,352,974.71
  5. Step 5: Solve for x
    x = 15,062,352,974.71/141,048.92
  6. Step 6: Final answer
    x = 106,788.15

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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.