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Finding the Fourth Proportional to 109,213.86, 150,743.64 and 66,807.90

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Solution

The fourth proportional to 109,213.86, 150,743.64 and 66,807.90 is: 92,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,213.86 : 150,743.64 = 66,807.90 : x
  2. Step 2: Convert to fraction form
    109,213.86/150,743.64 = 66,807.90/x
  3. Step 3: Cross multiply
    109,213.86x = 150,743.64 × 66,807.90
  4. Step 4: Simplify right side
    109,213.86x = 10,070,866,026.76
  5. Step 5: Solve for x
    x = 10,070,866,026.76/109,213.86
  6. Step 6: Final answer
    x = 92,212.34

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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.