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Finding the Fourth Proportional to 66,234, 91,403.36 and 36,019.66

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Solution

The fourth proportional to 66,234, 91,403.36 and 36,019.66 is: 49,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,234 : 91,403.36 = 36,019.66 : x
  2. Step 2: Convert to fraction form
    66,234/91,403.36 = 36,019.66/x
  3. Step 3: Cross multiply
    66,234x = 91,403.36 × 36,019.66
  4. Step 4: Simplify right side
    66,234x = 3,292,317,950.06
  5. Step 5: Solve for x
    x = 3,292,317,950.06/66,234
  6. Step 6: Final answer
    x = 49,707.37

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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.