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Finding the Fourth Proportional to 213,497.64, 320,447.10 and 108,392.04

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Solution

The fourth proportional to 213,497.64, 320,447.10 and 108,392.04 is: 162,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497.64 : 320,447.10 = 108,392.04 : x
  2. Step 2: Convert to fraction form
    213,497.64/320,447.10 = 108,392.04/x
  3. Step 3: Cross multiply
    213,497.64x = 320,447.10 × 108,392.04
  4. Step 4: Simplify right side
    213,497.64x = 34,733,914,881.08
  5. Step 5: Solve for x
    x = 34,733,914,881.08/213,497.64
  6. Step 6: Final answer
    x = 162,689.92

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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.