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Finding the Fourth Proportional to 143,171.40, 214,319.70 and 111,678.60

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Solution

The fourth proportional to 143,171.40, 214,319.70 and 111,678.60 is: 167,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,171.40 : 214,319.70 = 111,678.60 : x
  2. Step 2: Convert to fraction form
    143,171.40/214,319.70 = 111,678.60/x
  3. Step 3: Cross multiply
    143,171.40x = 214,319.70 × 111,678.60
  4. Step 4: Simplify right side
    143,171.40x = 23,934,924,048.42
  5. Step 5: Solve for x
    x = 23,934,924,048.42/143,171.40
  6. Step 6: Final answer
    x = 167,176.71

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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.