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Finding the Fourth Proportional to 100,976.76, 139,347.24 and 55,654.78

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Solution

The fourth proportional to 100,976.76, 139,347.24 and 55,654.78 is: 76,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976.76 : 139,347.24 = 55,654.78 : x
  2. Step 2: Convert to fraction form
    100,976.76/139,347.24 = 55,654.78/x
  3. Step 3: Cross multiply
    100,976.76x = 139,347.24 × 55,654.78
  4. Step 4: Simplify right side
    100,976.76x = 7,755,339,985.81
  5. Step 5: Solve for x
    x = 7,755,339,985.81/100,976.76
  6. Step 6: Final answer
    x = 76,803.22

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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.