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Finding the Fourth Proportional to 141,690, 195,532.20 and 78,027.66

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Solution

The fourth proportional to 141,690, 195,532.20 and 78,027.66 is: 107,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,690 : 195,532.20 = 78,027.66 : x
  2. Step 2: Convert to fraction form
    141,690/195,532.20 = 78,027.66/x
  3. Step 3: Cross multiply
    141,690x = 195,532.20 × 78,027.66
  4. Step 4: Simplify right side
    141,690x = 15,256,920,020.65
  5. Step 5: Solve for x
    x = 15,256,920,020.65/141,690
  6. Step 6: Final answer
    x = 107,678.17

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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.