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Finding the Fourth Proportional to 213,672, 320,512.32 and 65,928

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Solution

The fourth proportional to 213,672, 320,512.32 and 65,928 is: 98,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 320,512.32 = 65,928 : x
  2. Step 2: Convert to fraction form
    213,672/320,512.32 = 65,928/x
  3. Step 3: Cross multiply
    213,672x = 320,512.32 × 65,928
  4. Step 4: Simplify right side
    213,672x = 21,130,736,232.96
  5. Step 5: Solve for x
    x = 21,130,736,232.96/213,672
  6. Step 6: Final answer
    x = 98,893.33

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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.