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Finding the Fourth Proportional to 141,339, 195,047.82 and 77,680.90

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Solution

The fourth proportional to 141,339, 195,047.82 and 77,680.90 is: 107,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,339 : 195,047.82 = 77,680.90 : x
  2. Step 2: Convert to fraction form
    141,339/195,047.82 = 77,680.90/x
  3. Step 3: Cross multiply
    141,339x = 195,047.82 × 77,680.90
  4. Step 4: Simplify right side
    141,339x = 15,151,489,713.02
  5. Step 5: Solve for x
    x = 15,151,489,713.02/141,339
  6. Step 6: Final answer
    x = 107,199.64

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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.