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Finding the Fourth Proportional to 202,925.07, 280,149.30 and 122,373

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Solution

The fourth proportional to 202,925.07, 280,149.30 and 122,373 is: 168,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,925.07 : 280,149.30 = 122,373 : x
  2. Step 2: Convert to fraction form
    202,925.07/280,149.30 = 122,373/x
  3. Step 3: Cross multiply
    202,925.07x = 280,149.30 × 122,373
  4. Step 4: Simplify right side
    202,925.07x = 34,282,710,288.90
  5. Step 5: Solve for x
    x = 34,282,710,288.90/202,925.07
  6. Step 6: Final answer
    x = 168,942.71

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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.