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Finding the Fourth Proportional to 81,102.40, 121,617.15 and 31,165.90

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Solution

The fourth proportional to 81,102.40, 121,617.15 and 31,165.90 is: 46,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.40 : 121,617.15 = 31,165.90 : x
  2. Step 2: Convert to fraction form
    81,102.40/121,617.15 = 31,165.90/x
  3. Step 3: Cross multiply
    81,102.40x = 121,617.15 × 31,165.90
  4. Step 4: Simplify right side
    81,102.40x = 3,790,307,935.19
  5. Step 5: Solve for x
    x = 3,790,307,935.19/81,102.40
  6. Step 6: Final answer
    x = 46,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.