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Finding the Fourth Proportional to 203,301, 280,555.38 and 113,877

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Solution

The fourth proportional to 203,301, 280,555.38 and 113,877 is: 157,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,301 : 280,555.38 = 113,877 : x
  2. Step 2: Convert to fraction form
    203,301/280,555.38 = 113,877/x
  3. Step 3: Cross multiply
    203,301x = 280,555.38 × 113,877
  4. Step 4: Simplify right side
    203,301x = 31,948,805,008.26
  5. Step 5: Solve for x
    x = 31,948,805,008.26/203,301
  6. Step 6: Final answer
    x = 157,150.26

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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.