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Finding the Fourth Proportional to 202,984.65, 280,111.86 and 112,344.48

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Solution

The fourth proportional to 202,984.65, 280,111.86 and 112,344.48 is: 155,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.65 : 280,111.86 = 112,344.48 : x
  2. Step 2: Convert to fraction form
    202,984.65/280,111.86 = 112,344.48/x
  3. Step 3: Cross multiply
    202,984.65x = 280,111.86 × 112,344.48
  4. Step 4: Simplify right side
    202,984.65x = 31,469,021,253.53
  5. Step 5: Solve for x
    x = 31,469,021,253.53/202,984.65
  6. Step 6: Final answer
    x = 155,031.53

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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.