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Finding the Fourth Proportional to 203,429.74, 280,749.60 and 112,814.10

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Solution

The fourth proportional to 203,429.74, 280,749.60 and 112,814.10 is: 155,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,429.74 : 280,749.60 = 112,814.10 : x
  2. Step 2: Convert to fraction form
    203,429.74/280,749.60 = 112,814.10/x
  3. Step 3: Cross multiply
    203,429.74x = 280,749.60 × 112,814.10
  4. Step 4: Simplify right side
    203,429.74x = 31,672,513,449.36
  5. Step 5: Solve for x
    x = 31,672,513,449.36/203,429.74
  6. Step 6: Final answer
    x = 155,692.64

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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.