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Finding the Fourth Proportional to 100,969.61, 139,332.65 and 55,638.57

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Solution

The fourth proportional to 100,969.61, 139,332.65 and 55,638.57 is: 76,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969.61 : 139,332.65 = 55,638.57 : x
  2. Step 2: Convert to fraction form
    100,969.61/139,332.65 = 55,638.57/x
  3. Step 3: Cross multiply
    100,969.61x = 139,332.65 × 55,638.57
  4. Step 4: Simplify right side
    100,969.61x = 7,752,269,469.86
  5. Step 5: Solve for x
    x = 7,752,269,469.86/100,969.61
  6. Step 6: Final answer
    x = 76,778.24

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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.