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Finding the Fourth Proportional to 100,398.76, 138,551.36 and 55,076.82

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Solution

The fourth proportional to 100,398.76, 138,551.36 and 55,076.82 is: 76,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.76 : 138,551.36 = 55,076.82 : x
  2. Step 2: Convert to fraction form
    100,398.76/138,551.36 = 55,076.82/x
  3. Step 3: Cross multiply
    100,398.76x = 138,551.36 × 55,076.82
  4. Step 4: Simplify right side
    100,398.76x = 7,630,968,315.48
  5. Step 5: Solve for x
    x = 7,630,968,315.48/100,398.76
  6. Step 6: Final answer
    x = 76,006.60

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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.