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Finding the Fourth Proportional to 119,436.96, 164,823.75 and 65,720.46

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Solution

The fourth proportional to 119,436.96, 164,823.75 and 65,720.46 is: 90,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,436.96 : 164,823.75 = 65,720.46 : x
  2. Step 2: Convert to fraction form
    119,436.96/164,823.75 = 65,720.46/x
  3. Step 3: Cross multiply
    119,436.96x = 164,823.75 × 65,720.46
  4. Step 4: Simplify right side
    119,436.96x = 10,832,292,668.93
  5. Step 5: Solve for x
    x = 10,832,292,668.93/119,436.96
  6. Step 6: Final answer
    x = 90,694.64

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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.