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Finding the Fourth Proportional to 203,412.38, 305,118.59 and 78,753.38

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Solution

The fourth proportional to 203,412.38, 305,118.59 and 78,753.38 is: 118,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.38 : 305,118.59 = 78,753.38 : x
  2. Step 2: Convert to fraction form
    203,412.38/305,118.59 = 78,753.38/x
  3. Step 3: Cross multiply
    203,412.38x = 305,118.59 × 78,753.38
  4. Step 4: Simplify right side
    203,412.38x = 24,029,118,343.97
  5. Step 5: Solve for x
    x = 24,029,118,343.97/203,412.38
  6. Step 6: Final answer
    x = 118,130.07

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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.