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Finding the Fourth Proportional to 97,408.31, 134,422.15 and 54,388.47

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Solution

The fourth proportional to 97,408.31, 134,422.15 and 54,388.47 is: 75,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408.31 : 134,422.15 = 54,388.47 : x
  2. Step 2: Convert to fraction form
    97,408.31/134,422.15 = 54,388.47/x
  3. Step 3: Cross multiply
    97,408.31x = 134,422.15 × 54,388.47
  4. Step 4: Simplify right side
    97,408.31x = 7,311,014,432.56
  5. Step 5: Solve for x
    x = 7,311,014,432.56/97,408.31
  6. Step 6: Final answer
    x = 75,055.35

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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.