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Finding the Fourth Proportional to 180,604.12, 270,931.58 and 75,399.16

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Solution

The fourth proportional to 180,604.12, 270,931.58 and 75,399.16 is: 113,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,604.12 : 270,931.58 = 75,399.16 : x
  2. Step 2: Convert to fraction form
    180,604.12/270,931.58 = 75,399.16/x
  3. Step 3: Cross multiply
    180,604.12x = 270,931.58 × 75,399.16
  4. Step 4: Simplify right side
    180,604.12x = 20,428,013,549.47
  5. Step 5: Solve for x
    x = 20,428,013,549.47/180,604.12
  6. Step 6: Final answer
    x = 113,109.34

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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.