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Finding the Fourth Proportional to 211,909.10, 317,743.83 and 69,715.89

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Solution

The fourth proportional to 211,909.10, 317,743.83 and 69,715.89 is: 104,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909.10 : 317,743.83 = 69,715.89 : x
  2. Step 2: Convert to fraction form
    211,909.10/317,743.83 = 69,715.89/x
  3. Step 3: Cross multiply
    211,909.10x = 317,743.83 × 69,715.89
  4. Step 4: Simplify right side
    211,909.10x = 22,151,793,900.46
  5. Step 5: Solve for x
    x = 22,151,793,900.46/211,909.10
  6. Step 6: Final answer
    x = 104,534.42

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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.