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Finding the Fourth Proportional to 219,205.66, 302,497.68 and 123,721.24

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Solution

The fourth proportional to 219,205.66, 302,497.68 and 123,721.24 is: 170,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,205.66 : 302,497.68 = 123,721.24 : x
  2. Step 2: Convert to fraction form
    219,205.66/302,497.68 = 123,721.24/x
  3. Step 3: Cross multiply
    219,205.66x = 302,497.68 × 123,721.24
  4. Step 4: Simplify right side
    219,205.66x = 37,425,387,310.48
  5. Step 5: Solve for x
    x = 37,425,387,310.48/219,205.66
  6. Step 6: Final answer
    x = 170,731.85

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1.5x scale

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.