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Finding the Fourth Proportional to 215,903.20, 323,757.60 and 97,513.60

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Solution

The fourth proportional to 215,903.20, 323,757.60 and 97,513.60 is: 146,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,903.20 : 323,757.60 = 97,513.60 : x
  2. Step 2: Convert to fraction form
    215,903.20/323,757.60 = 97,513.60/x
  3. Step 3: Cross multiply
    215,903.20x = 323,757.60 × 97,513.60
  4. Step 4: Simplify right side
    215,903.20x = 31,570,769,103.36
  5. Step 5: Solve for x
    x = 31,570,769,103.36/215,903.20
  6. Step 6: Final answer
    x = 146,226.50

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1.5x scale

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.