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Finding the Fourth Proportional to 208,879.56, 288,254 and 113,386.20

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Solution

The fourth proportional to 208,879.56, 288,254 and 113,386.20 is: 156,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,879.56 : 288,254 = 113,386.20 : x
  2. Step 2: Convert to fraction form
    208,879.56/288,254 = 113,386.20/x
  3. Step 3: Cross multiply
    208,879.56x = 288,254 × 113,386.20
  4. Step 4: Simplify right side
    208,879.56x = 32,684,025,694.80
  5. Step 5: Solve for x
    x = 32,684,025,694.80/208,879.56
  6. Step 6: Final answer
    x = 156,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.