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Finding the Fourth Proportional to 202,231.75, 279,079.82 and 112,807.75

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Solution

The fourth proportional to 202,231.75, 279,079.82 and 112,807.75 is: 155,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,231.75 : 279,079.82 = 112,807.75 : x
  2. Step 2: Convert to fraction form
    202,231.75/279,079.82 = 112,807.75/x
  3. Step 3: Cross multiply
    202,231.75x = 279,079.82 × 112,807.75
  4. Step 4: Simplify right side
    202,231.75x = 31,482,366,564.61
  5. Step 5: Solve for x
    x = 31,482,366,564.61/202,231.75
  6. Step 6: Final answer
    x = 155,674.70

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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.