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Finding the Fourth Proportional to 85,099.68, 117,432.99 and 47,371.50

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Solution

The fourth proportional to 85,099.68, 117,432.99 and 47,371.50 is: 65,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,099.68 : 117,432.99 = 47,371.50 : x
  2. Step 2: Convert to fraction form
    85,099.68/117,432.99 = 47,371.50/x
  3. Step 3: Cross multiply
    85,099.68x = 117,432.99 × 47,371.50
  4. Step 4: Simplify right side
    85,099.68x = 5,562,976,885.79
  5. Step 5: Solve for x
    x = 5,562,976,885.79/85,099.68
  6. Step 6: Final answer
    x = 65,370.13

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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.