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Finding the Fourth Proportional to 141,807.70, 195,695.93 and 78,147.76

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Solution

The fourth proportional to 141,807.70, 195,695.93 and 78,147.76 is: 107,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,807.70 : 195,695.93 = 78,147.76 : x
  2. Step 2: Convert to fraction form
    141,807.70/195,695.93 = 78,147.76/x
  3. Step 3: Cross multiply
    141,807.70x = 195,695.93 × 78,147.76
  4. Step 4: Simplify right side
    141,807.70x = 15,293,198,570.62
  5. Step 5: Solve for x
    x = 15,293,198,570.62/141,807.70
  6. Step 6: Final answer
    x = 107,844.63

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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.