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Finding the Fourth Proportional to 203,155.42, 304,768.50 and 84,909.82

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Solution

The fourth proportional to 203,155.42, 304,768.50 and 84,909.82 is: 127,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,155.42 : 304,768.50 = 84,909.82 : x
  2. Step 2: Convert to fraction form
    203,155.42/304,768.50 = 84,909.82/x
  3. Step 3: Cross multiply
    203,155.42x = 304,768.50 × 84,909.82
  4. Step 4: Simplify right side
    203,155.42x = 25,877,838,476.67
  5. Step 5: Solve for x
    x = 25,877,838,476.67/203,155.42
  6. Step 6: Final answer
    x = 127,379.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.