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Finding the Fourth Proportional to 145,203.57, 217,756.20 and 55,224.90

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Solution

The fourth proportional to 145,203.57, 217,756.20 and 55,224.90 is: 82,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,203.57 : 217,756.20 = 55,224.90 : x
  2. Step 2: Convert to fraction form
    145,203.57/217,756.20 = 55,224.90/x
  3. Step 3: Cross multiply
    145,203.57x = 217,756.20 × 55,224.90
  4. Step 4: Simplify right side
    145,203.57x = 12,025,564,369.38
  5. Step 5: Solve for x
    x = 12,025,564,369.38/145,203.57
  6. Step 6: Final answer
    x = 82,818.66

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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.