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Finding the Fourth Proportional to 85,365.63, 117,815.72 and 47,647.71

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Solution

The fourth proportional to 85,365.63, 117,815.72 and 47,647.71 is: 65,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,365.63 : 117,815.72 = 47,647.71 : x
  2. Step 2: Convert to fraction form
    85,365.63/117,815.72 = 47,647.71/x
  3. Step 3: Cross multiply
    85,365.63x = 117,815.72 × 47,647.71
  4. Step 4: Simplify right side
    85,365.63x = 5,613,649,021.76
  5. Step 5: Solve for x
    x = 5,613,649,021.76/85,365.63
  6. Step 6: Final answer
    x = 65,760.06

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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.