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Finding the Fourth Proportional to 66,906.50, 92,328.18 and 40,064

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Solution

The fourth proportional to 66,906.50, 92,328.18 and 40,064 is: 55,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906.50 : 92,328.18 = 40,064 : x
  2. Step 2: Convert to fraction form
    66,906.50/92,328.18 = 40,064/x
  3. Step 3: Cross multiply
    66,906.50x = 92,328.18 × 40,064
  4. Step 4: Simplify right side
    66,906.50x = 3,699,036,203.52
  5. Step 5: Solve for x
    x = 3,699,036,203.52/66,906.50
  6. Step 6: Final answer
    x = 55,286.65

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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.