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Finding the Fourth Proportional to 213,105.84, 293,988.60 and 123,630

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Solution

The fourth proportional to 213,105.84, 293,988.60 and 123,630 is: 170,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,105.84 : 293,988.60 = 123,630 : x
  2. Step 2: Convert to fraction form
    213,105.84/293,988.60 = 123,630/x
  3. Step 3: Cross multiply
    213,105.84x = 293,988.60 × 123,630
  4. Step 4: Simplify right side
    213,105.84x = 36,345,810,618
  5. Step 5: Solve for x
    x = 36,345,810,618/213,105.84
  6. Step 6: Final answer
    x = 170,552.86

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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.