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Finding the Fourth Proportional to 85,457.92, 117,909.12 and 47,731.36

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Solution

The fourth proportional to 85,457.92, 117,909.12 and 47,731.36 is: 65,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.92 : 117,909.12 = 47,731.36 : x
  2. Step 2: Convert to fraction form
    85,457.92/117,909.12 = 47,731.36/x
  3. Step 3: Cross multiply
    85,457.92x = 117,909.12 × 47,731.36
  4. Step 4: Simplify right side
    85,457.92x = 5,627,962,654.00
  5. Step 5: Solve for x
    x = 5,627,962,654.00/85,457.92
  6. Step 6: Final answer
    x = 65,856.54

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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.