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Finding the Fourth Proportional to 85,457.84, 117,931.11 and 47,217.26

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Solution

The fourth proportional to 85,457.84, 117,931.11 and 47,217.26 is: 65,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.84 : 117,931.11 = 47,217.26 : x
  2. Step 2: Convert to fraction form
    85,457.84/117,931.11 = 47,217.26/x
  3. Step 3: Cross multiply
    85,457.84x = 117,931.11 × 47,217.26
  4. Step 4: Simplify right side
    85,457.84x = 5,568,384,000.72
  5. Step 5: Solve for x
    x = 5,568,384,000.72/85,457.84
  6. Step 6: Final answer
    x = 65,159.43

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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.