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Finding the Fourth Proportional to 119,412.21, 164,788.84 and 65,696.07

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Solution

The fourth proportional to 119,412.21, 164,788.84 and 65,696.07 is: 90,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,412.21 : 164,788.84 = 65,696.07 : x
  2. Step 2: Convert to fraction form
    119,412.21/164,788.84 = 65,696.07/x
  3. Step 3: Cross multiply
    119,412.21x = 164,788.84 × 65,696.07
  4. Step 4: Simplify right side
    119,412.21x = 10,825,979,167.86
  5. Step 5: Solve for x
    x = 10,825,979,167.86/119,412.21
  6. Step 6: Final answer
    x = 90,660.57

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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.