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Finding the Fourth Proportional to 145,214.60, 217,530.30 and 82,812.20

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Solution

The fourth proportional to 145,214.60, 217,530.30 and 82,812.20 is: 124,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,214.60 : 217,530.30 = 82,812.20 : x
  2. Step 2: Convert to fraction form
    145,214.60/217,530.30 = 82,812.20/x
  3. Step 3: Cross multiply
    145,214.60x = 217,530.30 × 82,812.20
  4. Step 4: Simplify right side
    145,214.60x = 18,014,162,709.66
  5. Step 5: Solve for x
    x = 18,014,162,709.66/145,214.60
  6. Step 6: Final answer
    x = 124,052.01

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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.