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Finding the Fourth Proportional to 210,158.43, 315,234.59 and 97,775.79

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Solution

The fourth proportional to 210,158.43, 315,234.59 and 97,775.79 is: 146,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,158.43 : 315,234.59 = 97,775.79 : x
  2. Step 2: Convert to fraction form
    210,158.43/315,234.59 = 97,775.79/x
  3. Step 3: Cross multiply
    210,158.43x = 315,234.59 × 97,775.79
  4. Step 4: Simplify right side
    210,158.43x = 30,822,310,583.70
  5. Step 5: Solve for x
    x = 30,822,310,583.70/210,158.43
  6. Step 6: Final answer
    x = 146,662.26

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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.