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Finding the Fourth Proportional to 200,810.95, 300,806.33 and 112,111.70

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Solution

The fourth proportional to 200,810.95, 300,806.33 and 112,111.70 is: 167,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,810.95 : 300,806.33 = 112,111.70 : x
  2. Step 2: Convert to fraction form
    200,810.95/300,806.33 = 112,111.70/x
  3. Step 3: Cross multiply
    200,810.95x = 300,806.33 × 112,111.70
  4. Step 4: Simplify right side
    200,810.95x = 33,723,906,962.47
  5. Step 5: Solve for x
    x = 33,723,906,962.47/200,810.95
  6. Step 6: Final answer
    x = 167,938.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.