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Finding the Fourth Proportional to 203,109.64, 280,294.25 and 112,465.43

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Solution

The fourth proportional to 203,109.64, 280,294.25 and 112,465.43 is: 155,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,109.64 : 280,294.25 = 112,465.43 : x
  2. Step 2: Convert to fraction form
    203,109.64/280,294.25 = 112,465.43/x
  3. Step 3: Cross multiply
    203,109.64x = 280,294.25 × 112,465.43
  4. Step 4: Simplify right side
    203,109.64x = 31,523,411,388.98
  5. Step 5: Solve for x
    x = 31,523,411,388.98/203,109.64
  6. Step 6: Final answer
    x = 155,203.92

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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.