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Finding the Fourth Proportional to 81,692.89, 122,538.88 and 31,807.69

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Solution

The fourth proportional to 81,692.89, 122,538.88 and 31,807.69 is: 47,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,692.89 : 122,538.88 = 31,807.69 : x
  2. Step 2: Convert to fraction form
    81,692.89/122,538.88 = 31,807.69/x
  3. Step 3: Cross multiply
    81,692.89x = 122,538.88 × 31,807.69
  4. Step 4: Simplify right side
    81,692.89x = 3,897,678,707.99
  5. Step 5: Solve for x
    x = 3,897,678,707.99/81,692.89
  6. Step 6: Final answer
    x = 47,711.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.