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Finding the Fourth Proportional to 109,863.40, 164,535.90 and 74,612.20

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Solution

The fourth proportional to 109,863.40, 164,535.90 and 74,612.20 is: 111,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,863.40 : 164,535.90 = 74,612.20 : x
  2. Step 2: Convert to fraction form
    109,863.40/164,535.90 = 74,612.20/x
  3. Step 3: Cross multiply
    109,863.40x = 164,535.90 × 74,612.20
  4. Step 4: Simplify right side
    109,863.40x = 12,276,385,477.98
  5. Step 5: Solve for x
    x = 12,276,385,477.98/109,863.40
  6. Step 6: Final answer
    x = 111,742.27

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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.