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Finding the Fourth Proportional to 100,971.87, 139,335.49 and 55,649.71

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Solution

The fourth proportional to 100,971.87, 139,335.49 and 55,649.71 is: 76,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.87 : 139,335.49 = 55,649.71 : x
  2. Step 2: Convert to fraction form
    100,971.87/139,335.49 = 55,649.71/x
  3. Step 3: Cross multiply
    100,971.87x = 139,335.49 × 55,649.71
  4. Step 4: Simplify right side
    100,971.87x = 7,753,979,332.96
  5. Step 5: Solve for x
    x = 7,753,979,332.96/100,971.87
  6. Step 6: Final answer
    x = 76,793.46

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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.