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Finding the Fourth Proportional to 202,347, 279,238.86 and 112,923

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Solution

The fourth proportional to 202,347, 279,238.86 and 112,923 is: 155,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,347 : 279,238.86 = 112,923 : x
  2. Step 2: Convert to fraction form
    202,347/279,238.86 = 112,923/x
  3. Step 3: Cross multiply
    202,347x = 279,238.86 × 112,923
  4. Step 4: Simplify right side
    202,347x = 31,532,489,787.78
  5. Step 5: Solve for x
    x = 31,532,489,787.78/202,347
  6. Step 6: Final answer
    x = 155,833.74

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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.