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Finding the Fourth Proportional to 213,212.82, 294,233.51 and 117,720.11

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Solution

The fourth proportional to 213,212.82, 294,233.51 and 117,720.11 is: 162,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,212.82 : 294,233.51 = 117,720.11 : x
  2. Step 2: Convert to fraction form
    213,212.82/294,233.51 = 117,720.11/x
  3. Step 3: Cross multiply
    213,212.82x = 294,233.51 × 117,720.11
  4. Step 4: Simplify right side
    213,212.82x = 34,637,199,103.12
  5. Step 5: Solve for x
    x = 34,637,199,103.12/213,212.82
  6. Step 6: Final answer
    x = 162,453.64

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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.