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Finding the Fourth Proportional to 215,119.80, 322,679.50 and 65,359.48

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Solution

The fourth proportional to 215,119.80, 322,679.50 and 65,359.48 is: 98,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,119.80 : 322,679.50 = 65,359.48 : x
  2. Step 2: Convert to fraction form
    215,119.80/322,679.50 = 65,359.48/x
  3. Step 3: Cross multiply
    215,119.80x = 322,679.50 × 65,359.48
  4. Step 4: Simplify right side
    215,119.80x = 21,090,164,326.66
  5. Step 5: Solve for x
    x = 21,090,164,326.66/215,119.80
  6. Step 6: Final answer
    x = 98,039.16

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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.