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Finding the Fourth Proportional to 100,909.13, 139,265.54 and 55,591.76

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Solution

The fourth proportional to 100,909.13, 139,265.54 and 55,591.76 is: 76,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909.13 : 139,265.54 = 55,591.76 : x
  2. Step 2: Convert to fraction form
    100,909.13/139,265.54 = 55,591.76/x
  3. Step 3: Cross multiply
    100,909.13x = 139,265.54 × 55,591.76
  4. Step 4: Simplify right side
    100,909.13x = 7,742,015,501.66
  5. Step 5: Solve for x
    x = 7,742,015,501.66/100,909.13
  6. Step 6: Final answer
    x = 76,722.65

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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.