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Finding the Fourth Proportional to 65,148.56, 89,907 and 36,467.72

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Solution

The fourth proportional to 65,148.56, 89,907 and 36,467.72 is: 50,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.56 : 89,907 = 36,467.72 : x
  2. Step 2: Convert to fraction form
    65,148.56/89,907 = 36,467.72/x
  3. Step 3: Cross multiply
    65,148.56x = 89,907 × 36,467.72
  4. Step 4: Simplify right side
    65,148.56x = 3,278,703,302.04
  5. Step 5: Solve for x
    x = 3,278,703,302.04/65,148.56
  6. Step 6: Final answer
    x = 50,326.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.