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Finding the Fourth Proportional to 119,353.86, 164,712.56 and 65,643.03

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Solution

The fourth proportional to 119,353.86, 164,712.56 and 65,643.03 is: 90,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,353.86 : 164,712.56 = 65,643.03 : x
  2. Step 2: Convert to fraction form
    119,353.86/164,712.56 = 65,643.03/x
  3. Step 3: Cross multiply
    119,353.86x = 164,712.56 × 65,643.03
  4. Step 4: Simplify right side
    119,353.86x = 10,812,231,517.46
  5. Step 5: Solve for x
    x = 10,812,231,517.46/119,353.86
  6. Step 6: Final answer
    x = 90,589.71

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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.