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Finding the Fourth Proportional to 213,644.88, 320,659.92 and 113,888.16

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Solution

The fourth proportional to 213,644.88, 320,659.92 and 113,888.16 is: 170,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,644.88 : 320,659.92 = 113,888.16 : x
  2. Step 2: Convert to fraction form
    213,644.88/320,659.92 = 113,888.16/x
  3. Step 3: Cross multiply
    213,644.88x = 320,659.92 × 113,888.16
  4. Step 4: Simplify right side
    213,644.88x = 36,519,368,274.55
  5. Step 5: Solve for x
    x = 36,519,368,274.55/213,644.88
  6. Step 6: Final answer
    x = 170,934.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.