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Finding the Fourth Proportional to 138,937, 208,440.06 and 40,441

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Solution

The fourth proportional to 138,937, 208,440.06 and 40,441 is: 60,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,937 : 208,440.06 = 40,441 : x
  2. Step 2: Convert to fraction form
    138,937/208,440.06 = 40,441/x
  3. Step 3: Cross multiply
    138,937x = 208,440.06 × 40,441
  4. Step 4: Simplify right side
    138,937x = 8,429,524,466.46
  5. Step 5: Solve for x
    x = 8,429,524,466.46/138,937
  6. Step 6: Final answer
    x = 60,671.56

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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.