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Finding the Fourth Proportional to 109,763.40, 164,645.10 and 30,880.20

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Solution

The fourth proportional to 109,763.40, 164,645.10 and 30,880.20 is: 46,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,763.40 : 164,645.10 = 30,880.20 : x
  2. Step 2: Convert to fraction form
    109,763.40/164,645.10 = 30,880.20/x
  3. Step 3: Cross multiply
    109,763.40x = 164,645.10 × 30,880.20
  4. Step 4: Simplify right side
    109,763.40x = 5,084,273,617.02
  5. Step 5: Solve for x
    x = 5,084,273,617.02/109,763.40
  6. Step 6: Final answer
    x = 46,320.30

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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.