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Finding the Fourth Proportional to 100,977.22, 139,347.84 and 55,659.34

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Solution

The fourth proportional to 100,977.22, 139,347.84 and 55,659.34 is: 76,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.22 : 139,347.84 = 55,659.34 : x
  2. Step 2: Convert to fraction form
    100,977.22/139,347.84 = 55,659.34/x
  3. Step 3: Cross multiply
    100,977.22x = 139,347.84 × 55,659.34
  4. Step 4: Simplify right side
    100,977.22x = 7,756,008,804.83
  5. Step 5: Solve for x
    x = 7,756,008,804.83/100,977.22
  6. Step 6: Final answer
    x = 76,809.49

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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.