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Finding the Fourth Proportional to 100,754.74, 139,041.52 and 55,431.74

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Solution

The fourth proportional to 100,754.74, 139,041.52 and 55,431.74 is: 76,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,754.74 : 139,041.52 = 55,431.74 : x
  2. Step 2: Convert to fraction form
    100,754.74/139,041.52 = 55,431.74/x
  3. Step 3: Cross multiply
    100,754.74x = 139,041.52 × 55,431.74
  4. Step 4: Simplify right side
    100,754.74x = 7,707,313,385.84
  5. Step 5: Solve for x
    x = 7,707,313,385.84/100,754.74
  6. Step 6: Final answer
    x = 76,495.79

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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.