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Finding the Fourth Proportional to 202,982.65, 280,109.13 and 112,342.45

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Solution

The fourth proportional to 202,982.65, 280,109.13 and 112,342.45 is: 155,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,982.65 : 280,109.13 = 112,342.45 : x
  2. Step 2: Convert to fraction form
    202,982.65/280,109.13 = 112,342.45/x
  3. Step 3: Cross multiply
    202,982.65x = 280,109.13 × 112,342.45
  4. Step 4: Simplify right side
    202,982.65x = 31,468,145,931.57
  5. Step 5: Solve for x
    x = 31,468,145,931.57/202,982.65
  6. Step 6: Final answer
    x = 155,028.75

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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.