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Finding the Fourth Proportional to 202,422.56, 279,278.16 and 112,981.28

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Solution

The fourth proportional to 202,422.56, 279,278.16 and 112,981.28 is: 155,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422.56 : 279,278.16 = 112,981.28 : x
  2. Step 2: Convert to fraction form
    202,422.56/279,278.16 = 112,981.28/x
  3. Step 3: Cross multiply
    202,422.56x = 279,278.16 × 112,981.28
  4. Step 4: Simplify right side
    202,422.56x = 31,553,203,992.84
  5. Step 5: Solve for x
    x = 31,553,203,992.84/202,422.56
  6. Step 6: Final answer
    x = 155,877.90

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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.