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Finding the Fourth Proportional to 209,097.70, 313,652.71 and 51,326.16

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Solution

The fourth proportional to 209,097.70, 313,652.71 and 51,326.16 is: 76,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,097.70 : 313,652.71 = 51,326.16 : x
  2. Step 2: Convert to fraction form
    209,097.70/313,652.71 = 51,326.16/x
  3. Step 3: Cross multiply
    209,097.70x = 313,652.71 × 51,326.16
  4. Step 4: Simplify right side
    209,097.70x = 16,098,587,777.14
  5. Step 5: Solve for x
    x = 16,098,587,777.14/209,097.70
  6. Step 6: Final answer
    x = 76,990.74

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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.