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Finding the Fourth Proportional to 213,147.70, 294,143.86 and 117,654.42

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Solution

The fourth proportional to 213,147.70, 294,143.86 and 117,654.42 is: 162,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.70 : 294,143.86 = 117,654.42 : x
  2. Step 2: Convert to fraction form
    213,147.70/294,143.86 = 117,654.42/x
  3. Step 3: Cross multiply
    213,147.70x = 294,143.86 × 117,654.42
  4. Step 4: Simplify right side
    213,147.70x = 34,607,325,833.16
  5. Step 5: Solve for x
    x = 34,607,325,833.16/213,147.70
  6. Step 6: Final answer
    x = 162,363.12

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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.