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Finding the Fourth Proportional to 210,834.40, 316,273.68 and 68,690.74

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Solution

The fourth proportional to 210,834.40, 316,273.68 and 68,690.74 is: 103,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834.40 : 316,273.68 = 68,690.74 : x
  2. Step 2: Convert to fraction form
    210,834.40/316,273.68 = 68,690.74/x
  3. Step 3: Cross multiply
    210,834.40x = 316,273.68 × 68,690.74
  4. Step 4: Simplify right side
    210,834.40x = 21,725,073,121.72
  5. Step 5: Solve for x
    x = 21,725,073,121.72/210,834.40
  6. Step 6: Final answer
    x = 103,043.30

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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.