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Finding the Fourth Proportional to 141,809.61, 195,696.33 and 78,147.46

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Solution

The fourth proportional to 141,809.61, 195,696.33 and 78,147.46 is: 107,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,809.61 : 195,696.33 = 78,147.46 : x
  2. Step 2: Convert to fraction form
    141,809.61/195,696.33 = 78,147.46/x
  3. Step 3: Cross multiply
    141,809.61x = 195,696.33 × 78,147.46
  4. Step 4: Simplify right side
    141,809.61x = 15,293,171,120.82
  5. Step 5: Solve for x
    x = 15,293,171,120.82/141,809.61
  6. Step 6: Final answer
    x = 107,842.98

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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.