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Finding the Fourth Proportional to 85,742.91, 118,288.86 and 53,900.19

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Solution

The fourth proportional to 85,742.91, 118,288.86 and 53,900.19 is: 74,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,742.91 : 118,288.86 = 53,900.19 : x
  2. Step 2: Convert to fraction form
    85,742.91/118,288.86 = 53,900.19/x
  3. Step 3: Cross multiply
    85,742.91x = 118,288.86 × 53,900.19
  4. Step 4: Simplify right side
    85,742.91x = 6,375,792,028.88
  5. Step 5: Solve for x
    x = 6,375,792,028.88/85,742.91
  6. Step 6: Final answer
    x = 74,359.41

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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.