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Finding the Fourth Proportional to 203,522.51, 280,847.07 and 112,869.96

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Solution

The fourth proportional to 203,522.51, 280,847.07 and 112,869.96 is: 155,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,522.51 : 280,847.07 = 112,869.96 : x
  2. Step 2: Convert to fraction form
    203,522.51/280,847.07 = 112,869.96/x
  3. Step 3: Cross multiply
    203,522.51x = 280,847.07 × 112,869.96
  4. Step 4: Simplify right side
    203,522.51x = 31,699,197,557.02
  5. Step 5: Solve for x
    x = 31,699,197,557.02/203,522.51
  6. Step 6: Final answer
    x = 155,752.79

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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.