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Finding the Fourth Proportional to 109,643.40, 164,465.10 and 83,399.40

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Solution

The fourth proportional to 109,643.40, 164,465.10 and 83,399.40 is: 125,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.40 : 164,465.10 = 83,399.40 : x
  2. Step 2: Convert to fraction form
    109,643.40/164,465.10 = 83,399.40/x
  3. Step 3: Cross multiply
    109,643.40x = 164,465.10 × 83,399.40
  4. Step 4: Simplify right side
    109,643.40x = 13,716,290,660.94
  5. Step 5: Solve for x
    x = 13,716,290,660.94/109,643.40
  6. Step 6: Final answer
    x = 125,099.10

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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.