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Finding the Fourth Proportional to 213,491, 294,616.50 and 117,996.86

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Solution

The fourth proportional to 213,491, 294,616.50 and 117,996.86 is: 162,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,491 : 294,616.50 = 117,996.86 : x
  2. Step 2: Convert to fraction form
    213,491/294,616.50 = 117,996.86/x
  3. Step 3: Cross multiply
    213,491x = 294,616.50 × 117,996.86
  4. Step 4: Simplify right side
    213,491x = 34,763,821,904.19
  5. Step 5: Solve for x
    x = 34,763,821,904.19/213,491
  6. Step 6: Final answer
    x = 162,835.07

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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.