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Finding the Fourth Proportional to 215,364.16, 323,062.64 and 65,617.23

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Solution

The fourth proportional to 215,364.16, 323,062.64 and 65,617.23 is: 98,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,364.16 : 323,062.64 = 65,617.23 : x
  2. Step 2: Convert to fraction form
    215,364.16/323,062.64 = 65,617.23/x
  3. Step 3: Cross multiply
    215,364.16x = 323,062.64 × 65,617.23
  4. Step 4: Simplify right side
    215,364.16x = 21,198,475,553.29
  5. Step 5: Solve for x
    x = 21,198,475,553.29/215,364.16
  6. Step 6: Final answer
    x = 98,430.84

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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.