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Finding the Fourth Proportional to 85,676.98, 118,233.01 and 47,432.86

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Solution

The fourth proportional to 85,676.98, 118,233.01 and 47,432.86 is: 65,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,676.98 : 118,233.01 = 47,432.86 : x
  2. Step 2: Convert to fraction form
    85,676.98/118,233.01 = 47,432.86/x
  3. Step 3: Cross multiply
    85,676.98x = 118,233.01 × 47,432.86
  4. Step 4: Simplify right side
    85,676.98x = 5,608,129,810.71
  5. Step 5: Solve for x
    x = 5,608,129,810.71/85,676.98
  6. Step 6: Final answer
    x = 65,456.67

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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.