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Finding the Fourth Proportional to 215,019.65, 322,530.51 and 65,261.24

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Solution

The fourth proportional to 215,019.65, 322,530.51 and 65,261.24 is: 97,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,019.65 : 322,530.51 = 65,261.24 : x
  2. Step 2: Convert to fraction form
    215,019.65/322,530.51 = 65,261.24/x
  3. Step 3: Cross multiply
    215,019.65x = 322,530.51 × 65,261.24
  4. Step 4: Simplify right side
    215,019.65x = 21,048,741,020.43
  5. Step 5: Solve for x
    x = 21,048,741,020.43/215,019.65
  6. Step 6: Final answer
    x = 97,892.17

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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.