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Finding the Fourth Proportional to 213,859.44, 320,643.36 and 108,475.20

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Solution

The fourth proportional to 213,859.44, 320,643.36 and 108,475.20 is: 162,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.44 : 320,643.36 = 108,475.20 : x
  2. Step 2: Convert to fraction form
    213,859.44/320,643.36 = 108,475.20/x
  3. Step 3: Cross multiply
    213,859.44x = 320,643.36 × 108,475.20
  4. Step 4: Simplify right side
    213,859.44x = 34,781,852,604.67
  5. Step 5: Solve for x
    x = 34,781,852,604.67/213,859.44
  6. Step 6: Final answer
    x = 162,638.85

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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.