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Finding the Fourth Proportional to 85,659.75, 118,210.86 and 47,934

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Solution

The fourth proportional to 85,659.75, 118,210.86 and 47,934 is: 66,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,659.75 : 118,210.86 = 47,934 : x
  2. Step 2: Convert to fraction form
    85,659.75/118,210.86 = 47,934/x
  3. Step 3: Cross multiply
    85,659.75x = 118,210.86 × 47,934
  4. Step 4: Simplify right side
    85,659.75x = 5,666,319,363.24
  5. Step 5: Solve for x
    x = 5,666,319,363.24/85,659.75
  6. Step 6: Final answer
    x = 66,149.15

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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.