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Finding the Fourth Proportional to 203,506.90, 280,856.77 and 112,892.06

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Solution

The fourth proportional to 203,506.90, 280,856.77 and 112,892.06 is: 155,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.90 : 280,856.77 = 112,892.06 : x
  2. Step 2: Convert to fraction form
    203,506.90/280,856.77 = 112,892.06/x
  3. Step 3: Cross multiply
    203,506.90x = 280,856.77 × 112,892.06
  4. Step 4: Simplify right side
    203,506.90x = 31,706,499,330.25
  5. Step 5: Solve for x
    x = 31,706,499,330.25/203,506.90
  6. Step 6: Final answer
    x = 155,800.61

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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.