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Finding the Fourth Proportional to 224,943.31, 310,422.39 and 122,970

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Solution

The fourth proportional to 224,943.31, 310,422.39 and 122,970 is: 169,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,943.31 : 310,422.39 = 122,970 : x
  2. Step 2: Convert to fraction form
    224,943.31/310,422.39 = 122,970/x
  3. Step 3: Cross multiply
    224,943.31x = 310,422.39 × 122,970
  4. Step 4: Simplify right side
    224,943.31x = 38,172,641,298.30
  5. Step 5: Solve for x
    x = 38,172,641,298.30/224,943.31
  6. Step 6: Final answer
    x = 169,698.94

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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.