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Finding the Fourth Proportional to 305,809.26, 458,678.23 and 81,187.14

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Solution

The fourth proportional to 305,809.26, 458,678.23 and 81,187.14 is: 121,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,809.26 : 458,678.23 = 81,187.14 : x
  2. Step 2: Convert to fraction form
    305,809.26/458,678.23 = 81,187.14/x
  3. Step 3: Cross multiply
    305,809.26x = 458,678.23 × 81,187.14
  4. Step 4: Simplify right side
    305,809.26x = 37,238,775,191.04
  5. Step 5: Solve for x
    x = 37,238,775,191.04/305,809.26
  6. Step 6: Final answer
    x = 121,771.25

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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.