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Finding the Fourth Proportional to 223,682, 308,683.32 and 123,082.16

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Solution

The fourth proportional to 223,682, 308,683.32 and 123,082.16 is: 169,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,682 : 308,683.32 = 123,082.16 : x
  2. Step 2: Convert to fraction form
    223,682/308,683.32 = 123,082.16/x
  3. Step 3: Cross multiply
    223,682x = 308,683.32 × 123,082.16
  4. Step 4: Simplify right side
    223,682x = 37,993,409,781.57
  5. Step 5: Solve for x
    x = 37,993,409,781.57/223,682
  6. Step 6: Final answer
    x = 169,854.57

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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.