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Finding the Fourth Proportional to 211,788, 317,614.64 and 69,600.47

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Solution

The fourth proportional to 211,788, 317,614.64 and 69,600.47 is: 104,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,788 : 317,614.64 = 69,600.47 : x
  2. Step 2: Convert to fraction form
    211,788/317,614.64 = 69,600.47/x
  3. Step 3: Cross multiply
    211,788x = 317,614.64 × 69,600.47
  4. Step 4: Simplify right side
    211,788x = 22,106,126,286.81
  5. Step 5: Solve for x
    x = 22,106,126,286.81/211,788
  6. Step 6: Final answer
    x = 104,378.56

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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.