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Finding the Fourth Proportional to 212,800, 293,666.03 and 117,310.12

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Solution

The fourth proportional to 212,800, 293,666.03 and 117,310.12 is: 161,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,800 : 293,666.03 = 117,310.12 : x
  2. Step 2: Convert to fraction form
    212,800/293,666.03 = 117,310.12/x
  3. Step 3: Cross multiply
    212,800x = 293,666.03 × 117,310.12
  4. Step 4: Simplify right side
    212,800x = 34,449,996,632.67
  5. Step 5: Solve for x
    x = 34,449,996,632.67/212,800
  6. Step 6: Final answer
    x = 161,889.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.