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Finding the Fourth Proportional to 71,435.52, 107,049.60 and 40,204.08

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Solution

The fourth proportional to 71,435.52, 107,049.60 and 40,204.08 is: 60,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.52 : 107,049.60 = 40,204.08 : x
  2. Step 2: Convert to fraction form
    71,435.52/107,049.60 = 40,204.08/x
  3. Step 3: Cross multiply
    71,435.52x = 107,049.60 × 40,204.08
  4. Step 4: Simplify right side
    71,435.52x = 4,303,830,682.37
  5. Step 5: Solve for x
    x = 4,303,830,682.37/71,435.52
  6. Step 6: Final answer
    x = 60,247.77

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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.