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Finding the Fourth Proportional to 141,815, 195,702.12 and 77,284.80

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Solution

The fourth proportional to 141,815, 195,702.12 and 77,284.80 is: 106,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,815 : 195,702.12 = 77,284.80 : x
  2. Step 2: Convert to fraction form
    141,815/195,702.12 = 77,284.80/x
  3. Step 3: Cross multiply
    141,815x = 195,702.12 × 77,284.80
  4. Step 4: Simplify right side
    141,815x = 15,124,799,203.78
  5. Step 5: Solve for x
    x = 15,124,799,203.78/141,815
  6. Step 6: Final answer
    x = 106,651.62

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1.5x scale

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.