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Finding the Fourth Proportional to 211,791.68, 317,594.23 and 99,503.81

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Solution

The fourth proportional to 211,791.68, 317,594.23 and 99,503.81 is: 149,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.68 : 317,594.23 = 99,503.81 : x
  2. Step 2: Convert to fraction form
    211,791.68/317,594.23 = 99,503.81/x
  3. Step 3: Cross multiply
    211,791.68x = 317,594.23 × 99,503.81
  4. Step 4: Simplify right side
    211,791.68x = 31,601,835,919.02
  5. Step 5: Solve for x
    x = 31,601,835,919.02/211,791.68
  6. Step 6: Final answer
    x = 149,211.89

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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.