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Finding the Fourth Proportional to 100,071.92, 138,102.70 and 57,057.68

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Solution

The fourth proportional to 100,071.92, 138,102.70 and 57,057.68 is: 78,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071.92 : 138,102.70 = 57,057.68 : x
  2. Step 2: Convert to fraction form
    100,071.92/138,102.70 = 57,057.68/x
  3. Step 3: Cross multiply
    100,071.92x = 138,102.70 × 57,057.68
  4. Step 4: Simplify right side
    100,071.92x = 7,879,819,663.74
  5. Step 5: Solve for x
    x = 7,879,819,663.74/100,071.92
  6. Step 6: Final answer
    x = 78,741.57

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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.