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Finding the Fourth Proportional to 56,082, 77,394.78 and 30,933.12

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Solution

The fourth proportional to 56,082, 77,394.78 and 30,933.12 is: 42,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082 : 77,394.78 = 30,933.12 : x
  2. Step 2: Convert to fraction form
    56,082/77,394.78 = 30,933.12/x
  3. Step 3: Cross multiply
    56,082x = 77,394.78 × 30,933.12
  4. Step 4: Simplify right side
    56,082x = 2,394,062,017.11
  5. Step 5: Solve for x
    x = 2,394,062,017.11/56,082
  6. Step 6: Final answer
    x = 42,688.60

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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.