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Finding the Fourth Proportional to 109,663.80, 164,495.70 and 83,419.80

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Solution

The fourth proportional to 109,663.80, 164,495.70 and 83,419.80 is: 125,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.80 : 164,495.70 = 83,419.80 : x
  2. Step 2: Convert to fraction form
    109,663.80/164,495.70 = 83,419.80/x
  3. Step 3: Cross multiply
    109,663.80x = 164,495.70 × 83,419.80
  4. Step 4: Simplify right side
    109,663.80x = 13,722,198,394.86
  5. Step 5: Solve for x
    x = 13,722,198,394.86/109,663.80
  6. Step 6: Final answer
    x = 125,129.70

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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.