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Finding the Fourth Proportional to 141,444, 195,192.72 and 77,785.92

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Solution

The fourth proportional to 141,444, 195,192.72 and 77,785.92 is: 107,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,444 : 195,192.72 = 77,785.92 : x
  2. Step 2: Convert to fraction form
    141,444/195,192.72 = 77,785.92/x
  3. Step 3: Cross multiply
    141,444x = 195,192.72 × 77,785.92
  4. Step 4: Simplify right side
    141,444x = 15,183,245,302.50
  5. Step 5: Solve for x
    x = 15,183,245,302.50/141,444
  6. Step 6: Final answer
    x = 107,344.57

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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.