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Finding the Fourth Proportional to 203,266.25, 280,349.47 and 138,787.35

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Solution

The fourth proportional to 203,266.25, 280,349.47 and 138,787.35 is: 191,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.25 : 280,349.47 = 138,787.35 : x
  2. Step 2: Convert to fraction form
    203,266.25/280,349.47 = 138,787.35/x
  3. Step 3: Cross multiply
    203,266.25x = 280,349.47 × 138,787.35
  4. Step 4: Simplify right side
    203,266.25x = 38,908,960,015.20
  5. Step 5: Solve for x
    x = 38,908,960,015.20/203,266.25
  6. Step 6: Final answer
    x = 191,418.69

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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.