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Finding the Fourth Proportional to 85,112.96, 117,455.76 and 47,396.08

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Solution

The fourth proportional to 85,112.96, 117,455.76 and 47,396.08 is: 65,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.96 : 117,455.76 = 47,396.08 : x
  2. Step 2: Convert to fraction form
    85,112.96/117,455.76 = 47,396.08/x
  3. Step 3: Cross multiply
    85,112.96x = 117,455.76 × 47,396.08
  4. Step 4: Simplify right side
    85,112.96x = 5,566,942,597.42
  5. Step 5: Solve for x
    x = 5,566,942,597.42/85,112.96
  6. Step 6: Final answer
    x = 65,406.52

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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.