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Finding the Fourth Proportional to 202,977.92, 280,103.76 and 112,337.64

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Solution

The fourth proportional to 202,977.92, 280,103.76 and 112,337.64 is: 155,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,977.92 : 280,103.76 = 112,337.64 : x
  2. Step 2: Convert to fraction form
    202,977.92/280,103.76 = 112,337.64/x
  3. Step 3: Cross multiply
    202,977.92x = 280,103.76 × 112,337.64
  4. Step 4: Simplify right side
    202,977.92x = 31,466,195,353.53
  5. Step 5: Solve for x
    x = 31,466,195,353.53/202,977.92
  6. Step 6: Final answer
    x = 155,022.75

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1.5x scale

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.