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Finding the Fourth Proportional to 203,423.84, 280,717.16 and 112,781.20

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Solution

The fourth proportional to 203,423.84, 280,717.16 and 112,781.20 is: 155,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423.84 : 280,717.16 = 112,781.20 : x
  2. Step 2: Convert to fraction form
    203,423.84/280,717.16 = 112,781.20/x
  3. Step 3: Cross multiply
    203,423.84x = 280,717.16 × 112,781.20
  4. Step 4: Simplify right side
    203,423.84x = 31,659,618,165.39
  5. Step 5: Solve for x
    x = 31,659,618,165.39/203,423.84
  6. Step 6: Final answer
    x = 155,633.77

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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.