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Finding the Fourth Proportional to 100,768.68, 139,053.66 and 55,445.64

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Solution

The fourth proportional to 100,768.68, 139,053.66 and 55,445.64 is: 76,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,768.68 : 139,053.66 = 55,445.64 : x
  2. Step 2: Convert to fraction form
    100,768.68/139,053.66 = 55,445.64/x
  3. Step 3: Cross multiply
    100,768.68x = 139,053.66 × 55,445.64
  4. Step 4: Simplify right side
    100,768.68x = 7,709,919,173.04
  5. Step 5: Solve for x
    x = 7,709,919,173.04/100,768.68
  6. Step 6: Final answer
    x = 76,511.07

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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.