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Finding the Fourth Proportional to 215,783.80, 323,673.94 and 66,023.48

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Solution

The fourth proportional to 215,783.80, 323,673.94 and 66,023.48 is: 99,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,783.80 : 323,673.94 = 66,023.48 : x
  2. Step 2: Convert to fraction form
    215,783.80/323,673.94 = 66,023.48/x
  3. Step 3: Cross multiply
    215,783.80x = 323,673.94 × 66,023.48
  4. Step 4: Simplify right side
    215,783.80x = 21,370,079,904.11
  5. Step 5: Solve for x
    x = 21,370,079,904.11/215,783.80
  6. Step 6: Final answer
    x = 99,034.68

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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.