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Finding the Fourth Proportional to 202,239, 279,098.46 and 112,815

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Solution

The fourth proportional to 202,239, 279,098.46 and 112,815 is: 155,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,239 : 279,098.46 = 112,815 : x
  2. Step 2: Convert to fraction form
    202,239/279,098.46 = 112,815/x
  3. Step 3: Cross multiply
    202,239x = 279,098.46 × 112,815
  4. Step 4: Simplify right side
    202,239x = 31,486,492,764.90
  5. Step 5: Solve for x
    x = 31,486,492,764.90/202,239
  6. Step 6: Final answer
    x = 155,689.52

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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.