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Finding the Fourth Proportional to 213,189.96, 294,202.20 and 117,696.72

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Solution

The fourth proportional to 213,189.96, 294,202.20 and 117,696.72 is: 162,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189.96 : 294,202.20 = 117,696.72 : x
  2. Step 2: Convert to fraction form
    213,189.96/294,202.20 = 117,696.72/x
  3. Step 3: Cross multiply
    213,189.96x = 294,202.20 × 117,696.72
  4. Step 4: Simplify right side
    213,189.96x = 34,626,633,956.78
  5. Step 5: Solve for x
    x = 34,626,633,956.78/213,189.96
  6. Step 6: Final answer
    x = 162,421.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.