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Finding the Fourth Proportional to 85,417.67, 128,083.49 and 28,471.41

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Solution

The fourth proportional to 85,417.67, 128,083.49 and 28,471.41 is: 42,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.67 : 128,083.49 = 28,471.41 : x
  2. Step 2: Convert to fraction form
    85,417.67/128,083.49 = 28,471.41/x
  3. Step 3: Cross multiply
    85,417.67x = 128,083.49 × 28,471.41
  4. Step 4: Simplify right side
    85,417.67x = 3,646,717,415.66
  5. Step 5: Solve for x
    x = 3,646,717,415.66/85,417.67
  6. Step 6: Final answer
    x = 42,692.78

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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.