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Finding the Fourth Proportional to 224,388.48, 309,634.56 and 123,780

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Solution

The fourth proportional to 224,388.48, 309,634.56 and 123,780 is: 170,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,388.48 : 309,634.56 = 123,780 : x
  2. Step 2: Convert to fraction form
    224,388.48/309,634.56 = 123,780/x
  3. Step 3: Cross multiply
    224,388.48x = 309,634.56 × 123,780
  4. Step 4: Simplify right side
    224,388.48x = 38,326,565,836.80
  5. Step 5: Solve for x
    x = 38,326,565,836.80/224,388.48
  6. Step 6: Final answer
    x = 170,804.52

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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.