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Finding the Fourth Proportional to 223,106.28, 307,772.46 and 142,449

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Solution

The fourth proportional to 223,106.28, 307,772.46 and 142,449 is: 196,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,106.28 : 307,772.46 = 142,449 : x
  2. Step 2: Convert to fraction form
    223,106.28/307,772.46 = 142,449/x
  3. Step 3: Cross multiply
    223,106.28x = 307,772.46 × 142,449
  4. Step 4: Simplify right side
    223,106.28x = 43,841,879,154.54
  5. Step 5: Solve for x
    x = 43,841,879,154.54/223,106.28
  6. Step 6: Final answer
    x = 196,506.70

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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.