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Finding the Fourth Proportional to 100,751.70, 139,041.10 and 55,431.66

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Solution

The fourth proportional to 100,751.70, 139,041.10 and 55,431.66 is: 76,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,751.70 : 139,041.10 = 55,431.66 : x
  2. Step 2: Convert to fraction form
    100,751.70/139,041.10 = 55,431.66/x
  3. Step 3: Cross multiply
    100,751.70x = 139,041.10 × 55,431.66
  4. Step 4: Simplify right side
    100,751.70x = 7,707,278,981.23
  5. Step 5: Solve for x
    x = 7,707,278,981.23/100,751.70
  6. Step 6: Final answer
    x = 76,497.76

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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.