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Finding the Fourth Proportional to 141,685.50, 195,523.02 and 78,023.82

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Solution

The fourth proportional to 141,685.50, 195,523.02 and 78,023.82 is: 107,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,685.50 : 195,523.02 = 78,023.82 : x
  2. Step 2: Convert to fraction form
    141,685.50/195,523.02 = 78,023.82/x
  3. Step 3: Cross multiply
    141,685.50x = 195,523.02 × 78,023.82
  4. Step 4: Simplify right side
    141,685.50x = 15,255,452,918.34
  5. Step 5: Solve for x
    x = 15,255,452,918.34/141,685.50
  6. Step 6: Final answer
    x = 107,671.24

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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.