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Finding the Fourth Proportional to 100,972.74, 139,336.70 and 55,650.59

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Solution

The fourth proportional to 100,972.74, 139,336.70 and 55,650.59 is: 76,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972.74 : 139,336.70 = 55,650.59 : x
  2. Step 2: Convert to fraction form
    100,972.74/139,336.70 = 55,650.59/x
  3. Step 3: Cross multiply
    100,972.74x = 139,336.70 × 55,650.59
  4. Step 4: Simplify right side
    100,972.74x = 7,754,168,727.84
  5. Step 5: Solve for x
    x = 7,754,168,727.84/100,972.74
  6. Step 6: Final answer
    x = 76,794.67

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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.