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Finding the Fourth Proportional to 212,988.96, 293,939.28 and 123,564.96

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Solution

The fourth proportional to 212,988.96, 293,939.28 and 123,564.96 is: 170,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,988.96 : 293,939.28 = 123,564.96 : x
  2. Step 2: Convert to fraction form
    212,988.96/293,939.28 = 123,564.96/x
  3. Step 3: Cross multiply
    212,988.96x = 293,939.28 × 123,564.96
  4. Step 4: Simplify right side
    212,988.96x = 36,320,595,375.63
  5. Step 5: Solve for x
    x = 36,320,595,375.63/212,988.96
  6. Step 6: Final answer
    x = 170,528.07

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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.