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Finding the Fourth Proportional to 203,259, 280,497.42 and 113,835

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Solution

The fourth proportional to 203,259, 280,497.42 and 113,835 is: 157,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,259 : 280,497.42 = 113,835 : x
  2. Step 2: Convert to fraction form
    203,259/280,497.42 = 113,835/x
  3. Step 3: Cross multiply
    203,259x = 280,497.42 × 113,835
  4. Step 4: Simplify right side
    203,259x = 31,930,423,805.70
  5. Step 5: Solve for x
    x = 31,930,423,805.70/203,259
  6. Step 6: Final answer
    x = 157,092.30

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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.