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Finding the Fourth Proportional to 220,752.12, 304,663.86 and 123,971.88

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Solution

The fourth proportional to 220,752.12, 304,663.86 and 123,971.88 is: 171,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,752.12 : 304,663.86 = 123,971.88 : x
  2. Step 2: Convert to fraction form
    220,752.12/304,663.86 = 123,971.88/x
  3. Step 3: Cross multiply
    220,752.12x = 304,663.86 × 123,971.88
  4. Step 4: Simplify right side
    220,752.12x = 37,769,751,492.26
  5. Step 5: Solve for x
    x = 37,769,751,492.26/220,752.12
  6. Step 6: Final answer
    x = 171,095.76

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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.