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Finding the Fourth Proportional to 85,410.60, 117,864.18 and 47,684.04

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Solution

The fourth proportional to 85,410.60, 117,864.18 and 47,684.04 is: 65,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.60 : 117,864.18 = 47,684.04 : x
  2. Step 2: Convert to fraction form
    85,410.60/117,864.18 = 47,684.04/x
  3. Step 3: Cross multiply
    85,410.60x = 117,864.18 × 47,684.04
  4. Step 4: Simplify right side
    85,410.60x = 5,620,240,273.69
  5. Step 5: Solve for x
    x = 5,620,240,273.69/85,410.60
  6. Step 6: Final answer
    x = 65,802.61

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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.