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Finding the Fourth Proportional to 202,235, 279,084.30 and 112,811

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Solution

The fourth proportional to 202,235, 279,084.30 and 112,811 is: 155,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,235 : 279,084.30 = 112,811 : x
  2. Step 2: Convert to fraction form
    202,235/279,084.30 = 112,811/x
  3. Step 3: Cross multiply
    202,235x = 279,084.30 × 112,811
  4. Step 4: Simplify right side
    202,235x = 31,483,778,967.30
  5. Step 5: Solve for x
    x = 31,483,778,967.30/202,235
  6. Step 6: Final answer
    x = 155,679.18

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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.