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Finding the Fourth Proportional to 144,857.40, 217,213.20 and 85,711.20

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Solution

The fourth proportional to 144,857.40, 217,213.20 and 85,711.20 is: 128,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857.40 : 217,213.20 = 85,711.20 : x
  2. Step 2: Convert to fraction form
    144,857.40/217,213.20 = 85,711.20/x
  3. Step 3: Cross multiply
    144,857.40x = 217,213.20 × 85,711.20
  4. Step 4: Simplify right side
    144,857.40x = 18,617,604,027.84
  5. Step 5: Solve for x
    x = 18,617,604,027.84/144,857.40
  6. Step 6: Final answer
    x = 128,523.67

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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.