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Finding the Fourth Proportional to 213,620.88, 320,623.92 and 113,864.16

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Solution

The fourth proportional to 213,620.88, 320,623.92 and 113,864.16 is: 170,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,620.88 : 320,623.92 = 113,864.16 : x
  2. Step 2: Convert to fraction form
    213,620.88/320,623.92 = 113,864.16/x
  3. Step 3: Cross multiply
    213,620.88x = 320,623.92 × 113,864.16
  4. Step 4: Simplify right side
    213,620.88x = 36,507,573,326.71
  5. Step 5: Solve for x
    x = 36,507,573,326.71/213,620.88
  6. Step 6: Final answer
    x = 170,898.90

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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.