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Finding the Fourth Proportional to 215,713.89, 323,570.84 and 65,954.18

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Solution

The fourth proportional to 215,713.89, 323,570.84 and 65,954.18 is: 98,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,713.89 : 323,570.84 = 65,954.18 : x
  2. Step 2: Convert to fraction form
    215,713.89/323,570.84 = 65,954.18/x
  3. Step 3: Cross multiply
    215,713.89x = 323,570.84 × 65,954.18
  4. Step 4: Simplify right side
    215,713.89x = 21,340,849,903.27
  5. Step 5: Solve for x
    x = 21,340,849,903.27/215,713.89
  6. Step 6: Final answer
    x = 98,931.27

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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.