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Finding the Fourth Proportional to 119,403.77, 164,774.79 and 65,687.40

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Solution

The fourth proportional to 119,403.77, 164,774.79 and 65,687.40 is: 90,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,403.77 : 164,774.79 = 65,687.40 : x
  2. Step 2: Convert to fraction form
    119,403.77/164,774.79 = 65,687.40/x
  3. Step 3: Cross multiply
    119,403.77x = 164,774.79 × 65,687.40
  4. Step 4: Simplify right side
    119,403.77x = 10,823,627,540.65
  5. Step 5: Solve for x
    x = 10,823,627,540.65/119,403.77
  6. Step 6: Final answer
    x = 90,647.29

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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.