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Finding the Fourth Proportional to 81,070, 121,605.54 and 25,666

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Solution

The fourth proportional to 81,070, 121,605.54 and 25,666 is: 38,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,070 : 121,605.54 = 25,666 : x
  2. Step 2: Convert to fraction form
    81,070/121,605.54 = 25,666/x
  3. Step 3: Cross multiply
    81,070x = 121,605.54 × 25,666
  4. Step 4: Simplify right side
    81,070x = 3,121,127,789.64
  5. Step 5: Solve for x
    x = 3,121,127,789.64/81,070
  6. Step 6: Final answer
    x = 38,499.17

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