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Finding the Fourth Proportional to 133,643.80, 200,465.70 and 40,137.40

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Solution

The fourth proportional to 133,643.80, 200,465.70 and 40,137.40 is: 60,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,643.80 : 200,465.70 = 40,137.40 : x
  2. Step 2: Convert to fraction form
    133,643.80/200,465.70 = 40,137.40/x
  3. Step 3: Cross multiply
    133,643.80x = 200,465.70 × 40,137.40
  4. Step 4: Simplify right side
    133,643.80x = 8,046,171,987.18
  5. Step 5: Solve for x
    x = 8,046,171,987.18/133,643.80
  6. Step 6: Final answer
    x = 60,206.10

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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.