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Finding the Fourth Proportional to 210,523.26, 315,834.54 and 68,368.08

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Solution

The fourth proportional to 210,523.26, 315,834.54 and 68,368.08 is: 102,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,523.26 : 315,834.54 = 68,368.08 : x
  2. Step 2: Convert to fraction form
    210,523.26/315,834.54 = 68,368.08/x
  3. Step 3: Cross multiply
    210,523.26x = 315,834.54 × 68,368.08
  4. Step 4: Simplify right side
    210,523.26x = 21,593,001,097.48
  5. Step 5: Solve for x
    x = 21,593,001,097.48/210,523.26
  6. Step 6: Final answer
    x = 102,568.24

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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.