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Finding the Fourth Proportional to 71,741.74, 107,514.16 and 45,399.32

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Solution

The fourth proportional to 71,741.74, 107,514.16 and 45,399.32 is: 68,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,741.74 : 107,514.16 = 45,399.32 : x
  2. Step 2: Convert to fraction form
    71,741.74/107,514.16 = 45,399.32/x
  3. Step 3: Cross multiply
    71,741.74x = 107,514.16 × 45,399.32
  4. Step 4: Simplify right side
    71,741.74x = 4,881,069,527.37
  5. Step 5: Solve for x
    x = 4,881,069,527.37/71,741.74
  6. Step 6: Final answer
    x = 68,036.68

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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.