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Finding the Fourth Proportional to 100,578.85, 138,798.90 and 55,256.92

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Solution

The fourth proportional to 100,578.85, 138,798.90 and 55,256.92 is: 76,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.85 : 138,798.90 = 55,256.92 : x
  2. Step 2: Convert to fraction form
    100,578.85/138,798.90 = 55,256.92/x
  3. Step 3: Cross multiply
    100,578.85x = 138,798.90 × 55,256.92
  4. Step 4: Simplify right side
    100,578.85x = 7,669,598,743.11
  5. Step 5: Solve for x
    x = 7,669,598,743.11/100,578.85
  6. Step 6: Final answer
    x = 76,254.59

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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.