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Finding the Fourth Proportional to 203,199.90, 280,415.88 and 112,561.74

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Solution

The fourth proportional to 203,199.90, 280,415.88 and 112,561.74 is: 155,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199.90 : 280,415.88 = 112,561.74 : x
  2. Step 2: Convert to fraction form
    203,199.90/280,415.88 = 112,561.74/x
  3. Step 3: Cross multiply
    203,199.90x = 280,415.88 × 112,561.74
  4. Step 4: Simplify right side
    203,199.90x = 31,564,099,376.43
  5. Step 5: Solve for x
    x = 31,564,099,376.43/203,199.90
  6. Step 6: Final answer
    x = 155,335.21

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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.