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Finding the Fourth Proportional to 141,807.92, 195,692.42 and 77,277.73

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Solution

The fourth proportional to 141,807.92, 195,692.42 and 77,277.73 is: 106,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,807.92 : 195,692.42 = 77,277.73 : x
  2. Step 2: Convert to fraction form
    141,807.92/195,692.42 = 77,277.73/x
  3. Step 3: Cross multiply
    141,807.92x = 195,692.42 × 77,277.73
  4. Step 4: Simplify right side
    141,807.92x = 15,122,665,995.81
  5. Step 5: Solve for x
    x = 15,122,665,995.81/141,807.92
  6. Step 6: Final answer
    x = 106,641.90

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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.