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Finding the Fourth Proportional to 217,312.40, 325,709.40 and 112,077.20

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Solution

The fourth proportional to 217,312.40, 325,709.40 and 112,077.20 is: 167,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,312.40 : 325,709.40 = 112,077.20 : x
  2. Step 2: Convert to fraction form
    217,312.40/325,709.40 = 112,077.20/x
  3. Step 3: Cross multiply
    217,312.40x = 325,709.40 × 112,077.20
  4. Step 4: Simplify right side
    217,312.40x = 36,504,597,565.68
  5. Step 5: Solve for x
    x = 36,504,597,565.68/217,312.40
  6. Step 6: Final answer
    x = 167,982.12

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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.