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Finding the Fourth Proportional to 100,366.86, 138,466.74 and 57,917.20

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Solution

The fourth proportional to 100,366.86, 138,466.74 and 57,917.20 is: 79,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.86 : 138,466.74 = 57,917.20 : x
  2. Step 2: Convert to fraction form
    100,366.86/138,466.74 = 57,917.20/x
  3. Step 3: Cross multiply
    100,366.86x = 138,466.74 × 57,917.20
  4. Step 4: Simplify right side
    100,366.86x = 8,019,605,873.93
  5. Step 5: Solve for x
    x = 8,019,605,873.93/100,366.86
  6. Step 6: Final answer
    x = 79,902.93

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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.