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Finding the Fourth Proportional to 81,005.80, 121,451.10 and 31,066.60

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Solution

The fourth proportional to 81,005.80, 121,451.10 and 31,066.60 is: 46,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.80 : 121,451.10 = 31,066.60 : x
  2. Step 2: Convert to fraction form
    81,005.80/121,451.10 = 31,066.60/x
  3. Step 3: Cross multiply
    81,005.80x = 121,451.10 × 31,066.60
  4. Step 4: Simplify right side
    81,005.80x = 3,773,072,743.26
  5. Step 5: Solve for x
    x = 3,773,072,743.26/81,005.80
  6. Step 6: Final answer
    x = 46,577.81

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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.