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Finding the Fourth Proportional to 141,741, 195,600.48 and 78,078.84

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Solution

The fourth proportional to 141,741, 195,600.48 and 78,078.84 is: 107,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,741 : 195,600.48 = 78,078.84 : x
  2. Step 2: Convert to fraction form
    141,741/195,600.48 = 78,078.84/x
  3. Step 3: Cross multiply
    141,741x = 195,600.48 × 78,078.84
  4. Step 4: Simplify right side
    141,741x = 15,272,258,581.84
  5. Step 5: Solve for x
    x = 15,272,258,581.84/141,741
  6. Step 6: Final answer
    x = 107,747.64

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1.5x scale

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.