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Finding the Fourth Proportional to 211,909.61, 317,666.78 and 71,570.09

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Solution

The fourth proportional to 211,909.61, 317,666.78 and 71,570.09 is: 107,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909.61 : 317,666.78 = 71,570.09 : x
  2. Step 2: Convert to fraction form
    211,909.61/317,666.78 = 71,570.09/x
  3. Step 3: Cross multiply
    211,909.61x = 317,666.78 × 71,570.09
  4. Step 4: Simplify right side
    211,909.61x = 22,735,440,739.31
  5. Step 5: Solve for x
    x = 22,735,440,739.31/211,909.61
  6. Step 6: Final answer
    x = 107,288.39

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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.