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Finding the Fourth Proportional to 215,501.64, 323,223.30 and 57,731.46

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Solution

The fourth proportional to 215,501.64, 323,223.30 and 57,731.46 is: 86,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,501.64 : 323,223.30 = 57,731.46 : x
  2. Step 2: Convert to fraction form
    215,501.64/323,223.30 = 57,731.46/x
  3. Step 3: Cross multiply
    215,501.64x = 323,223.30 × 57,731.46
  4. Step 4: Simplify right side
    215,501.64x = 18,660,153,015.02
  5. Step 5: Solve for x
    x = 18,660,153,015.02/215,501.64
  6. Step 6: Final answer
    x = 86,589.38

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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.