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Finding the Fourth Proportional to 85,614.81, 128,428.38 and 26,442.81

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Solution

The fourth proportional to 85,614.81, 128,428.38 and 26,442.81 is: 39,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,614.81 : 128,428.38 = 26,442.81 : x
  2. Step 2: Convert to fraction form
    85,614.81/128,428.38 = 26,442.81/x
  3. Step 3: Cross multiply
    85,614.81x = 128,428.38 × 26,442.81
  4. Step 4: Simplify right side
    85,614.81x = 3,396,007,250.95
  5. Step 5: Solve for x
    x = 3,396,007,250.95/85,614.81
  6. Step 6: Final answer
    x = 39,666.12

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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.