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Finding the Fourth Proportional to 210,412.14, 315,624.54 and 68,253.54

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Solution

The fourth proportional to 210,412.14, 315,624.54 and 68,253.54 is: 102,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412.14 : 315,624.54 = 68,253.54 : x
  2. Step 2: Convert to fraction form
    210,412.14/315,624.54 = 68,253.54/x
  3. Step 3: Cross multiply
    210,412.14x = 315,624.54 × 68,253.54
  4. Step 4: Simplify right side
    210,412.14x = 21,542,492,165.87
  5. Step 5: Solve for x
    x = 21,542,492,165.87/210,412.14
  6. Step 6: Final answer
    x = 102,382.36

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1.5x scale

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.