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Finding the Fourth Proportional to 207,209.74, 310,814.73 and 65,054.39

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Solution

The fourth proportional to 207,209.74, 310,814.73 and 65,054.39 is: 97,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,209.74 : 310,814.73 = 65,054.39 : x
  2. Step 2: Convert to fraction form
    207,209.74/310,814.73 = 65,054.39/x
  3. Step 3: Cross multiply
    207,209.74x = 310,814.73 × 65,054.39
  4. Step 4: Simplify right side
    207,209.74x = 20,219,861,109.09
  5. Step 5: Solve for x
    x = 20,219,861,109.09/207,209.74
  6. Step 6: Final answer
    x = 97,581.62

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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.