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Finding the Fourth Proportional to 119,409.76, 164,781.84 and 65,694.72

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Solution

The fourth proportional to 119,409.76, 164,781.84 and 65,694.72 is: 90,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.76 : 164,781.84 = 65,694.72 : x
  2. Step 2: Convert to fraction form
    119,409.76/164,781.84 = 65,694.72/x
  3. Step 3: Cross multiply
    119,409.76x = 164,781.84 × 65,694.72
  4. Step 4: Simplify right side
    119,409.76x = 10,825,296,839.88
  5. Step 5: Solve for x
    x = 10,825,296,839.88/119,409.76
  6. Step 6: Final answer
    x = 90,656.72

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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.