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Finding the Fourth Proportional to 213,992.71, 320,988.28 and 64,232.35

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Solution

The fourth proportional to 213,992.71, 320,988.28 and 64,232.35 is: 96,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,992.71 : 320,988.28 = 64,232.35 : x
  2. Step 2: Convert to fraction form
    213,992.71/320,988.28 = 64,232.35/x
  3. Step 3: Cross multiply
    213,992.71x = 320,988.28 × 64,232.35
  4. Step 4: Simplify right side
    213,992.71x = 20,617,831,546.86
  5. Step 5: Solve for x
    x = 20,617,831,546.86/213,992.71
  6. Step 6: Final answer
    x = 96,348.29

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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.