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Finding the Fourth Proportional to 210,467.20, 315,686.40 and 68,310.40

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Solution

The fourth proportional to 210,467.20, 315,686.40 and 68,310.40 is: 102,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,467.20 : 315,686.40 = 68,310.40 : x
  2. Step 2: Convert to fraction form
    210,467.20/315,686.40 = 68,310.40/x
  3. Step 3: Cross multiply
    210,467.20x = 315,686.40 × 68,310.40
  4. Step 4: Simplify right side
    210,467.20x = 21,564,664,258.56
  5. Step 5: Solve for x
    x = 21,564,664,258.56/210,467.20
  6. Step 6: Final answer
    x = 102,460.93

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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.