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Finding the Fourth Proportional to 215,424.72, 323,186.22 and 65,678.40

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Solution

The fourth proportional to 215,424.72, 323,186.22 and 65,678.40 is: 98,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424.72 : 323,186.22 = 65,678.40 : x
  2. Step 2: Convert to fraction form
    215,424.72/323,186.22 = 65,678.40/x
  3. Step 3: Cross multiply
    215,424.72x = 323,186.22 × 65,678.40
  4. Step 4: Simplify right side
    215,424.72x = 21,226,353,831.65
  5. Step 5: Solve for x
    x = 21,226,353,831.65/215,424.72
  6. Step 6: Final answer
    x = 98,532.58

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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.