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Finding the Fourth Proportional to 208,879.67, 288,254.31 and 113,386.43

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Solution

The fourth proportional to 208,879.67, 288,254.31 and 113,386.43 is: 156,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,879.67 : 288,254.31 = 113,386.43 : x
  2. Step 2: Convert to fraction form
    208,879.67/288,254.31 = 113,386.43/x
  3. Step 3: Cross multiply
    208,879.67x = 288,254.31 × 113,386.43
  4. Step 4: Simplify right side
    208,879.67x = 32,684,127,143.01
  5. Step 5: Solve for x
    x = 32,684,127,143.01/208,879.67
  6. Step 6: Final answer
    x = 156,473.47

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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.