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Finding the Fourth Proportional to 100,971.80, 139,340.52 and 55,649.82

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Solution

The fourth proportional to 100,971.80, 139,340.52 and 55,649.82 is: 76,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.80 : 139,340.52 = 55,649.82 : x
  2. Step 2: Convert to fraction form
    100,971.80/139,340.52 = 55,649.82/x
  3. Step 3: Cross multiply
    100,971.80x = 139,340.52 × 55,649.82
  4. Step 4: Simplify right side
    100,971.80x = 7,754,274,856.71
  5. Step 5: Solve for x
    x = 7,754,274,856.71/100,971.80
  6. Step 6: Final answer
    x = 76,796.44

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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.