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Finding the Fourth Proportional to 100,575.92, 138,794.82 and 55,256.82

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Solution

The fourth proportional to 100,575.92, 138,794.82 and 55,256.82 is: 76,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.92 : 138,794.82 = 55,256.82 : x
  2. Step 2: Convert to fraction form
    100,575.92/138,794.82 = 55,256.82/x
  3. Step 3: Cross multiply
    100,575.92x = 138,794.82 × 55,256.82
  4. Step 4: Simplify right side
    100,575.92x = 7,669,360,385.67
  5. Step 5: Solve for x
    x = 7,669,360,385.67/100,575.92
  6. Step 6: Final answer
    x = 76,254.44

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1.5x scale

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.