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Finding the Fourth Proportional to 85,391.66, 128,102.54 and 29,218.56

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Solution

The fourth proportional to 85,391.66, 128,102.54 and 29,218.56 is: 43,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,391.66 : 128,102.54 = 29,218.56 : x
  2. Step 2: Convert to fraction form
    85,391.66/128,102.54 = 29,218.56/x
  3. Step 3: Cross multiply
    85,391.66x = 128,102.54 × 29,218.56
  4. Step 4: Simplify right side
    85,391.66x = 3,742,971,605.05
  5. Step 5: Solve for x
    x = 3,742,971,605.05/85,391.66
  6. Step 6: Final answer
    x = 43,832.99

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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.