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Finding the Fourth Proportional to 202,984.65, 280,111.89 and 112,344.45

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Solution

The fourth proportional to 202,984.65, 280,111.89 and 112,344.45 is: 155,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.65 : 280,111.89 = 112,344.45 : x
  2. Step 2: Convert to fraction form
    202,984.65/280,111.89 = 112,344.45/x
  3. Step 3: Cross multiply
    202,984.65x = 280,111.89 × 112,344.45
  4. Step 4: Simplify right side
    202,984.65x = 31,469,016,220.51
  5. Step 5: Solve for x
    x = 31,469,016,220.51/202,984.65
  6. Step 6: Final answer
    x = 155,031.51

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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.