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Finding the Fourth Proportional to 212,209, 292,862.82 and 122,785

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Solution

The fourth proportional to 212,209, 292,862.82 and 122,785 is: 169,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,209 : 292,862.82 = 122,785 : x
  2. Step 2: Convert to fraction form
    212,209/292,862.82 = 122,785/x
  3. Step 3: Cross multiply
    212,209x = 292,862.82 × 122,785
  4. Step 4: Simplify right side
    212,209x = 35,959,161,353.70
  5. Step 5: Solve for x
    x = 35,959,161,353.70/212,209
  6. Step 6: Final answer
    x = 169,451.63

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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.