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Finding the Fourth Proportional to 211,693.66, 317,343.66 and 71,353.88

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Solution

The fourth proportional to 211,693.66, 317,343.66 and 71,353.88 is: 106,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,693.66 : 317,343.66 = 71,353.88 : x
  2. Step 2: Convert to fraction form
    211,693.66/317,343.66 = 71,353.88/x
  3. Step 3: Cross multiply
    211,693.66x = 317,343.66 × 71,353.88
  4. Step 4: Simplify right side
    211,693.66x = 22,643,701,434.40
  5. Step 5: Solve for x
    x = 22,643,701,434.40/211,693.66
  6. Step 6: Final answer
    x = 106,964.48

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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.