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Finding the Fourth Proportional to 109,737.60, 164,606.40 and 65,414.40

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Solution

The fourth proportional to 109,737.60, 164,606.40 and 65,414.40 is: 98,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737.60 : 164,606.40 = 65,414.40 : x
  2. Step 2: Convert to fraction form
    109,737.60/164,606.40 = 65,414.40/x
  3. Step 3: Cross multiply
    109,737.60x = 164,606.40 × 65,414.40
  4. Step 4: Simplify right side
    109,737.60x = 10,767,628,892.16
  5. Step 5: Solve for x
    x = 10,767,628,892.16/109,737.60
  6. Step 6: Final answer
    x = 98,121.60

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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.