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Finding the Fourth Proportional to 138,664.70, 208,030.65 and 40,168.70

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Solution

The fourth proportional to 138,664.70, 208,030.65 and 40,168.70 is: 60,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,664.70 : 208,030.65 = 40,168.70 : x
  2. Step 2: Convert to fraction form
    138,664.70/208,030.65 = 40,168.70/x
  3. Step 3: Cross multiply
    138,664.70x = 208,030.65 × 40,168.70
  4. Step 4: Simplify right side
    138,664.70x = 8,356,320,770.66
  5. Step 5: Solve for x
    x = 8,356,320,770.66/138,664.70
  6. Step 6: Final answer
    x = 60,262.78

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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.