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Finding the Fourth Proportional to 138,785.50, 208,184.01 and 40,289.50

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Solution

The fourth proportional to 138,785.50, 208,184.01 and 40,289.50 is: 60,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,785.50 : 208,184.01 = 40,289.50 : x
  2. Step 2: Convert to fraction form
    138,785.50/208,184.01 = 40,289.50/x
  3. Step 3: Cross multiply
    138,785.50x = 208,184.01 × 40,289.50
  4. Step 4: Simplify right side
    138,785.50x = 8,387,629,670.90
  5. Step 5: Solve for x
    x = 8,387,629,670.90/138,785.50
  6. Step 6: Final answer
    x = 60,435.92

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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.