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Finding the Fourth Proportional to 109,382.80, 164,074.20 and 102,001.68

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Solution

The fourth proportional to 109,382.80, 164,074.20 and 102,001.68 is: 153,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.80 : 164,074.20 = 102,001.68 : x
  2. Step 2: Convert to fraction form
    109,382.80/164,074.20 = 102,001.68/x
  3. Step 3: Cross multiply
    109,382.80x = 164,074.20 × 102,001.68
  4. Step 4: Simplify right side
    109,382.80x = 16,735,843,224.29
  5. Step 5: Solve for x
    x = 16,735,843,224.29/109,382.80
  6. Step 6: Final answer
    x = 153,002.51

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1.5x scale

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.