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Finding the Fourth Proportional to 85,370.64, 117,811.56 and 47,644.89

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Solution

The fourth proportional to 85,370.64, 117,811.56 and 47,644.89 is: 65,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370.64 : 117,811.56 = 47,644.89 : x
  2. Step 2: Convert to fraction form
    85,370.64/117,811.56 = 47,644.89/x
  3. Step 3: Cross multiply
    85,370.64x = 117,811.56 × 47,644.89
  4. Step 4: Simplify right side
    85,370.64x = 5,613,118,816.93
  5. Step 5: Solve for x
    x = 5,613,118,816.93/85,370.64
  6. Step 6: Final answer
    x = 65,749.99

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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.