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Finding the Fourth Proportional to 209,126.94, 313,691.47 and 51,355.46

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Solution

The fourth proportional to 209,126.94, 313,691.47 and 51,355.46 is: 77,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,126.94 : 313,691.47 = 51,355.46 : x
  2. Step 2: Convert to fraction form
    209,126.94/313,691.47 = 51,355.46/x
  3. Step 3: Cross multiply
    209,126.94x = 313,691.47 × 51,355.46
  4. Step 4: Simplify right side
    209,126.94x = 16,109,768,043.08
  5. Step 5: Solve for x
    x = 16,109,768,043.08/209,126.94
  6. Step 6: Final answer
    x = 77,033.44

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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.