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Finding the Fourth Proportional to 213,663.62, 320,742.89 and 124,980.77

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Solution

The fourth proportional to 213,663.62, 320,742.89 and 124,980.77 is: 187,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,663.62 : 320,742.89 = 124,980.77 : x
  2. Step 2: Convert to fraction form
    213,663.62/320,742.89 = 124,980.77/x
  3. Step 3: Cross multiply
    213,663.62x = 320,742.89 × 124,980.77
  4. Step 4: Simplify right side
    213,663.62x = 40,086,694,009.86
  5. Step 5: Solve for x
    x = 40,086,694,009.86/213,663.62
  6. Step 6: Final answer
    x = 187,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.