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Finding the Fourth Proportional to 203,530.34, 305,323.29 and 70,374.85

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Solution

The fourth proportional to 203,530.34, 305,323.29 and 70,374.85 is: 105,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,530.34 : 305,323.29 = 70,374.85 : x
  2. Step 2: Convert to fraction form
    203,530.34/305,323.29 = 70,374.85/x
  3. Step 3: Cross multiply
    203,530.34x = 305,323.29 × 70,374.85
  4. Step 4: Simplify right side
    203,530.34x = 21,487,079,971.95
  5. Step 5: Solve for x
    x = 21,487,079,971.95/203,530.34
  6. Step 6: Final answer
    x = 105,571.88

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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.