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Finding the Fourth Proportional to 139,275.54, 208,954.98 and 55,047.60

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Solution

The fourth proportional to 139,275.54, 208,954.98 and 55,047.60 is: 82,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,275.54 : 208,954.98 = 55,047.60 : x
  2. Step 2: Convert to fraction form
    139,275.54/208,954.98 = 55,047.60/x
  3. Step 3: Cross multiply
    139,275.54x = 208,954.98 × 55,047.60
  4. Step 4: Simplify right side
    139,275.54x = 11,502,470,157.05
  5. Step 5: Solve for x
    x = 11,502,470,157.05/139,275.54
  6. Step 6: Final answer
    x = 82,587.87

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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.