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Finding the Fourth Proportional to 215,426.52, 323,187.74 and 65,678.48

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Solution

The fourth proportional to 215,426.52, 323,187.74 and 65,678.48 is: 98,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,426.52 : 323,187.74 = 65,678.48 : x
  2. Step 2: Convert to fraction form
    215,426.52/323,187.74 = 65,678.48/x
  3. Step 3: Cross multiply
    215,426.52x = 323,187.74 × 65,678.48
  4. Step 4: Simplify right side
    215,426.52x = 21,226,479,031.75
  5. Step 5: Solve for x
    x = 21,226,479,031.75/215,426.52
  6. Step 6: Final answer
    x = 98,532.34

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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.