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Finding the Fourth Proportional to 66,545.42, 91,723.26 and 47,170.82

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Solution

The fourth proportional to 66,545.42, 91,723.26 and 47,170.82 is: 65,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,545.42 : 91,723.26 = 47,170.82 : x
  2. Step 2: Convert to fraction form
    66,545.42/91,723.26 = 47,170.82/x
  3. Step 3: Cross multiply
    66,545.42x = 91,723.26 × 47,170.82
  4. Step 4: Simplify right side
    66,545.42x = 4,326,661,387.27
  5. Step 5: Solve for x
    x = 4,326,661,387.27/66,545.42
  6. Step 6: Final answer
    x = 65,018.17

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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.