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Finding the Fourth Proportional to 137,314.86, 206,021.70 and 84,663.24

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Solution

The fourth proportional to 137,314.86, 206,021.70 and 84,663.24 is: 127,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.86 : 206,021.70 = 84,663.24 : x
  2. Step 2: Convert to fraction form
    137,314.86/206,021.70 = 84,663.24/x
  3. Step 3: Cross multiply
    137,314.86x = 206,021.70 × 84,663.24
  4. Step 4: Simplify right side
    137,314.86x = 17,442,464,632.31
  5. Step 5: Solve for x
    x = 17,442,464,632.31/137,314.86
  6. Step 6: Final answer
    x = 127,025.32

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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.