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Finding the Fourth Proportional to 141,900.72, 195,824.34 and 78,240.84

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Solution

The fourth proportional to 141,900.72, 195,824.34 and 78,240.84 is: 107,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,900.72 : 195,824.34 = 78,240.84 : x
  2. Step 2: Convert to fraction form
    141,900.72/195,824.34 = 78,240.84/x
  3. Step 3: Cross multiply
    141,900.72x = 195,824.34 × 78,240.84
  4. Step 4: Simplify right side
    141,900.72x = 15,321,460,854.05
  5. Step 5: Solve for x
    x = 15,321,460,854.05/141,900.72
  6. Step 6: Final answer
    x = 107,973.10

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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.