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Finding the Fourth Proportional to 85,531.54, 118,028.74 and 47,288.86

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Solution

The fourth proportional to 85,531.54, 118,028.74 and 47,288.86 is: 65,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,531.54 : 118,028.74 = 47,288.86 : x
  2. Step 2: Convert to fraction form
    85,531.54/118,028.74 = 47,288.86/x
  3. Step 3: Cross multiply
    85,531.54x = 118,028.74 × 47,288.86
  4. Step 4: Simplify right side
    85,531.54x = 5,581,444,561.84
  5. Step 5: Solve for x
    x = 5,581,444,561.84/85,531.54
  6. Step 6: Final answer
    x = 65,255.98

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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.