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Finding the Fourth Proportional to 85,365.76, 117,815.89 and 47,647.84

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Solution

The fourth proportional to 85,365.76, 117,815.89 and 47,647.84 is: 65,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,365.76 : 117,815.89 = 47,647.84 : x
  2. Step 2: Convert to fraction form
    85,365.76/117,815.89 = 47,647.84/x
  3. Step 3: Cross multiply
    85,365.76x = 117,815.89 × 47,647.84
  4. Step 4: Simplify right side
    85,365.76x = 5,613,672,676.18
  5. Step 5: Solve for x
    x = 5,613,672,676.18/85,365.76
  6. Step 6: Final answer
    x = 65,760.24

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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.