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Finding the Fourth Proportional to 215,433.90, 323,199.30 and 65,689.32

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Solution

The fourth proportional to 215,433.90, 323,199.30 and 65,689.32 is: 98,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,433.90 : 323,199.30 = 65,689.32 : x
  2. Step 2: Convert to fraction form
    215,433.90/323,199.30 = 65,689.32/x
  3. Step 3: Cross multiply
    215,433.90x = 323,199.30 × 65,689.32
  4. Step 4: Simplify right side
    215,433.90x = 21,230,742,241.48
  5. Step 5: Solve for x
    x = 21,230,742,241.48/215,433.90
  6. Step 6: Final answer
    x = 98,548.75

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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.