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Finding the Fourth Proportional to 83,408.31, 115,102.17 and 47,597.40

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Solution

The fourth proportional to 83,408.31, 115,102.17 and 47,597.40 is: 65,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.31 : 115,102.17 = 47,597.40 : x
  2. Step 2: Convert to fraction form
    83,408.31/115,102.17 = 47,597.40/x
  3. Step 3: Cross multiply
    83,408.31x = 115,102.17 × 47,597.40
  4. Step 4: Simplify right side
    83,408.31x = 5,478,564,026.36
  5. Step 5: Solve for x
    x = 5,478,564,026.36/83,408.31
  6. Step 6: Final answer
    x = 65,683.67

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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.