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Finding the Fourth Proportional to 119,356.63, 164,716.28 and 65,645.71

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Solution

The fourth proportional to 119,356.63, 164,716.28 and 65,645.71 is: 90,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,356.63 : 164,716.28 = 65,645.71 : x
  2. Step 2: Convert to fraction form
    119,356.63/164,716.28 = 65,645.71/x
  3. Step 3: Cross multiply
    119,356.63x = 164,716.28 × 65,645.71
  4. Step 4: Simplify right side
    119,356.63x = 10,812,916,489.69
  5. Step 5: Solve for x
    x = 10,812,916,489.69/119,356.63
  6. Step 6: Final answer
    x = 90,593.35

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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.