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Finding the Fourth Proportional to 215,120.30, 322,680.25 and 65,359.98

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Solution

The fourth proportional to 215,120.30, 322,680.25 and 65,359.98 is: 98,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,120.30 : 322,680.25 = 65,359.98 : x
  2. Step 2: Convert to fraction form
    215,120.30/322,680.25 = 65,359.98/x
  3. Step 3: Cross multiply
    215,120.30x = 322,680.25 × 65,359.98
  4. Step 4: Simplify right side
    215,120.30x = 21,090,374,686.40
  5. Step 5: Solve for x
    x = 21,090,374,686.40/215,120.30
  6. Step 6: Final answer
    x = 98,039.91

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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.