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Finding the Fourth Proportional to 141,407.98, 195,142.53 and 77,745.58

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Solution

The fourth proportional to 141,407.98, 195,142.53 and 77,745.58 is: 107,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.98 : 195,142.53 = 77,745.58 : x
  2. Step 2: Convert to fraction form
    141,407.98/195,142.53 = 77,745.58/x
  3. Step 3: Cross multiply
    141,407.98x = 195,142.53 × 77,745.58
  4. Step 4: Simplify right side
    141,407.98x = 15,171,469,177.52
  5. Step 5: Solve for x
    x = 15,171,469,177.52/141,407.98
  6. Step 6: Final answer
    x = 107,288.64

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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.