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Finding the Fourth Proportional to 100,351.92, 138,484.51 and 57,909.54

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Solution

The fourth proportional to 100,351.92, 138,484.51 and 57,909.54 is: 79,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,351.92 : 138,484.51 = 57,909.54 : x
  2. Step 2: Convert to fraction form
    100,351.92/138,484.51 = 57,909.54/x
  3. Step 3: Cross multiply
    100,351.92x = 138,484.51 × 57,909.54
  4. Step 4: Simplify right side
    100,351.92x = 8,019,574,126.45
  5. Step 5: Solve for x
    x = 8,019,574,126.45/100,351.92
  6. Step 6: Final answer
    x = 79,914.51

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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.