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Finding the Fourth Proportional to 67,369.77, 100,964.86 and 31,840.53

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Solution

The fourth proportional to 67,369.77, 100,964.86 and 31,840.53 is: 47,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,369.77 : 100,964.86 = 31,840.53 : x
  2. Step 2: Convert to fraction form
    67,369.77/100,964.86 = 31,840.53/x
  3. Step 3: Cross multiply
    67,369.77x = 100,964.86 × 31,840.53
  4. Step 4: Simplify right side
    67,369.77x = 3,214,774,653.78
  5. Step 5: Solve for x
    x = 3,214,774,653.78/67,369.77
  6. Step 6: Final answer
    x = 47,718.36

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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.