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Finding the Fourth Proportional to 85,115.25, 117,459.86 and 47,390.31

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Solution

The fourth proportional to 85,115.25, 117,459.86 and 47,390.31 is: 65,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115.25 : 117,459.86 = 47,390.31 : x
  2. Step 2: Convert to fraction form
    85,115.25/117,459.86 = 47,390.31/x
  3. Step 3: Cross multiply
    85,115.25x = 117,459.86 × 47,390.31
  4. Step 4: Simplify right side
    85,115.25x = 5,566,458,941.01
  5. Step 5: Solve for x
    x = 5,566,458,941.01/85,115.25
  6. Step 6: Final answer
    x = 65,399.08

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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.