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Finding the Fourth Proportional to 141,879.56, 195,787.80 and 77,347.40

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Solution

The fourth proportional to 141,879.56, 195,787.80 and 77,347.40 is: 106,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,879.56 : 195,787.80 = 77,347.40 : x
  2. Step 2: Convert to fraction form
    141,879.56/195,787.80 = 77,347.40/x
  3. Step 3: Cross multiply
    141,879.56x = 195,787.80 × 77,347.40
  4. Step 4: Simplify right side
    141,879.56x = 15,143,677,281.72
  5. Step 5: Solve for x
    x = 15,143,677,281.72/141,879.56
  6. Step 6: Final answer
    x = 106,736.14

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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.