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Finding the Fourth Proportional to 213,996.52, 295,217.22 and 138,569.32

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Solution

The fourth proportional to 213,996.52, 295,217.22 and 138,569.32 is: 191,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,996.52 : 295,217.22 = 138,569.32 : x
  2. Step 2: Convert to fraction form
    213,996.52/295,217.22 = 138,569.32/x
  3. Step 3: Cross multiply
    213,996.52x = 295,217.22 × 138,569.32
  4. Step 4: Simplify right side
    213,996.52x = 40,908,049,427.69
  5. Step 5: Solve for x
    x = 40,908,049,427.69/213,996.52
  6. Step 6: Final answer
    x = 191,162.22

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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.