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Finding the Fourth Proportional to 100,548.54, 138,756.88 and 55,226.51

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Solution

The fourth proportional to 100,548.54, 138,756.88 and 55,226.51 is: 76,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.54 : 138,756.88 = 55,226.51 : x
  2. Step 2: Convert to fraction form
    100,548.54/138,756.88 = 55,226.51/x
  3. Step 3: Cross multiply
    100,548.54x = 138,756.88 × 55,226.51
  4. Step 4: Simplify right side
    100,548.54x = 7,663,058,116.48
  5. Step 5: Solve for x
    x = 7,663,058,116.48/100,548.54
  6. Step 6: Final answer
    x = 76,212.52

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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.