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Finding the Fourth Proportional to 215,132, 322,715.04 and 65,385.28

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Solution

The fourth proportional to 215,132, 322,715.04 and 65,385.28 is: 98,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,132 : 322,715.04 = 65,385.28 : x
  2. Step 2: Convert to fraction form
    215,132/322,715.04 = 65,385.28/x
  3. Step 3: Cross multiply
    215,132x = 322,715.04 × 65,385.28
  4. Step 4: Simplify right side
    215,132x = 21,100,813,250.61
  5. Step 5: Solve for x
    x = 21,100,813,250.61/215,132
  6. Step 6: Final answer
    x = 98,083.10

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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.