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Finding the Fourth Proportional to 109,062.40, 163,939.20 and 102,841.60

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Solution

The fourth proportional to 109,062.40, 163,939.20 and 102,841.60 is: 154,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,062.40 : 163,939.20 = 102,841.60 : x
  2. Step 2: Convert to fraction form
    109,062.40/163,939.20 = 102,841.60/x
  3. Step 3: Cross multiply
    109,062.40x = 163,939.20 × 102,841.60
  4. Step 4: Simplify right side
    109,062.40x = 16,859,769,630.72
  5. Step 5: Solve for x
    x = 16,859,769,630.72/109,062.40
  6. Step 6: Final answer
    x = 154,588.29

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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.