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Finding the Fourth Proportional to 140,054.89, 209,983.92 and 51,296.86

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Solution

The fourth proportional to 140,054.89, 209,983.92 and 51,296.86 is: 76,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,054.89 : 209,983.92 = 51,296.86 : x
  2. Step 2: Convert to fraction form
    140,054.89/209,983.92 = 51,296.86/x
  3. Step 3: Cross multiply
    140,054.89x = 209,983.92 × 51,296.86
  4. Step 4: Simplify right side
    140,054.89x = 10,771,514,696.57
  5. Step 5: Solve for x
    x = 10,771,514,696.57/140,054.89
  6. Step 6: Final answer
    x = 76,909.24

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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.