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Finding the Fourth Proportional to 85,894.89, 118,494.12 and 57,227.86

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Solution

The fourth proportional to 85,894.89, 118,494.12 and 57,227.86 is: 78,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.89 : 118,494.12 = 57,227.86 : x
  2. Step 2: Convert to fraction form
    85,894.89/118,494.12 = 57,227.86/x
  3. Step 3: Cross multiply
    85,894.89x = 118,494.12 × 57,227.86
  4. Step 4: Simplify right side
    85,894.89x = 6,781,164,910.18
  5. Step 5: Solve for x
    x = 6,781,164,910.18/85,894.89
  6. Step 6: Final answer
    x = 78,947.24

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1.5x scale

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.