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Finding the Fourth Proportional to 66,543.84, 91,721.10 and 47,169.26

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Solution

The fourth proportional to 66,543.84, 91,721.10 and 47,169.26 is: 65,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543.84 : 91,721.10 = 47,169.26 : x
  2. Step 2: Convert to fraction form
    66,543.84/91,721.10 = 47,169.26/x
  3. Step 3: Cross multiply
    66,543.84x = 91,721.10 × 47,169.26
  4. Step 4: Simplify right side
    66,543.84x = 4,326,415,954.78
  5. Step 5: Solve for x
    x = 4,326,415,954.78/66,543.84
  6. Step 6: Final answer
    x = 65,016.02

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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.