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Finding the Fourth Proportional to 141,702.61, 195,540.74 and 78,040.42

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Solution

The fourth proportional to 141,702.61, 195,540.74 and 78,040.42 is: 107,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,702.61 : 195,540.74 = 78,040.42 : x
  2. Step 2: Convert to fraction form
    141,702.61/195,540.74 = 78,040.42/x
  3. Step 3: Cross multiply
    141,702.61x = 195,540.74 × 78,040.42
  4. Step 4: Simplify right side
    141,702.61x = 15,260,081,476.71
  5. Step 5: Solve for x
    x = 15,260,081,476.71/141,702.61
  6. Step 6: Final answer
    x = 107,690.90

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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.