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Finding the Fourth Proportional to 109,406.80, 164,110.20 and 65,010.70

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Solution

The fourth proportional to 109,406.80, 164,110.20 and 65,010.70 is: 97,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.80 : 164,110.20 = 65,010.70 : x
  2. Step 2: Convert to fraction form
    109,406.80/164,110.20 = 65,010.70/x
  3. Step 3: Cross multiply
    109,406.80x = 164,110.20 × 65,010.70
  4. Step 4: Simplify right side
    109,406.80x = 10,668,918,979.14
  5. Step 5: Solve for x
    x = 10,668,918,979.14/109,406.80
  6. Step 6: Final answer
    x = 97,516.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.