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Finding the Fourth Proportional to 66,039.76, 91,028.32 and 54,082

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Solution

The fourth proportional to 66,039.76, 91,028.32 and 54,082 is: 74,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039.76 : 91,028.32 = 54,082 : x
  2. Step 2: Convert to fraction form
    66,039.76/91,028.32 = 54,082/x
  3. Step 3: Cross multiply
    66,039.76x = 91,028.32 × 54,082
  4. Step 4: Simplify right side
    66,039.76x = 4,922,993,602.24
  5. Step 5: Solve for x
    x = 4,922,993,602.24/66,039.76
  6. Step 6: Final answer
    x = 74,545.90

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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.