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Finding the Fourth Proportional to 141,407.68, 195,137.56 and 77,745

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Solution

The fourth proportional to 141,407.68, 195,137.56 and 77,745 is: 107,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.68 : 195,137.56 = 77,745 : x
  2. Step 2: Convert to fraction form
    141,407.68/195,137.56 = 77,745/x
  3. Step 3: Cross multiply
    141,407.68x = 195,137.56 × 77,745
  4. Step 4: Simplify right side
    141,407.68x = 15,170,969,602.20
  5. Step 5: Solve for x
    x = 15,170,969,602.20/141,407.68
  6. Step 6: Final answer
    x = 107,285.33

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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.