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Finding the Fourth Proportional to 211,178.40, 316,734.58 and 69,022.59

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Solution

The fourth proportional to 211,178.40, 316,734.58 and 69,022.59 is: 103,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,178.40 : 316,734.58 = 69,022.59 : x
  2. Step 2: Convert to fraction form
    211,178.40/316,734.58 = 69,022.59/x
  3. Step 3: Cross multiply
    211,178.40x = 316,734.58 × 69,022.59
  4. Step 4: Simplify right side
    211,178.40x = 21,861,841,054.16
  5. Step 5: Solve for x
    x = 21,861,841,054.16/211,178.40
  6. Step 6: Final answer
    x = 103,523.09

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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.