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Finding the Fourth Proportional to 202,617.44, 279,597.90 and 111,971.78

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Solution

The fourth proportional to 202,617.44, 279,597.90 and 111,971.78 is: 154,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,617.44 : 279,597.90 = 111,971.78 : x
  2. Step 2: Convert to fraction form
    202,617.44/279,597.90 = 111,971.78/x
  3. Step 3: Cross multiply
    202,617.44x = 279,597.90 × 111,971.78
  4. Step 4: Simplify right side
    202,617.44x = 31,307,074,547.26
  5. Step 5: Solve for x
    x = 31,307,074,547.26/202,617.44
  6. Step 6: Final answer
    x = 154,513.23

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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.