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Finding the Fourth Proportional to 120,571.40, 180,844.25 and 49,501.49

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Solution

The fourth proportional to 120,571.40, 180,844.25 and 49,501.49 is: 74,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,571.40 : 180,844.25 = 49,501.49 : x
  2. Step 2: Convert to fraction form
    120,571.40/180,844.25 = 49,501.49/x
  3. Step 3: Cross multiply
    120,571.40x = 180,844.25 × 49,501.49
  4. Step 4: Simplify right side
    120,571.40x = 8,952,058,681.20
  5. Step 5: Solve for x
    x = 8,952,058,681.20/120,571.40
  6. Step 6: Final answer
    x = 74,246.95

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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.