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Finding the Fourth Proportional to 86,286.48, 129,254.76 and 44,646

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Solution

The fourth proportional to 86,286.48, 129,254.76 and 44,646 is: 66,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286.48 : 129,254.76 = 44,646 : x
  2. Step 2: Convert to fraction form
    86,286.48/129,254.76 = 44,646/x
  3. Step 3: Cross multiply
    86,286.48x = 129,254.76 × 44,646
  4. Step 4: Simplify right side
    86,286.48x = 5,770,708,014.96
  5. Step 5: Solve for x
    x = 5,770,708,014.96/86,286.48
  6. Step 6: Final answer
    x = 66,878.47

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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.