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Finding the Fourth Proportional to 205,000.72, 307,475.64 and 55,252.72

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Solution

The fourth proportional to 205,000.72, 307,475.64 and 55,252.72 is: 82,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.72 : 307,475.64 = 55,252.72 : x
  2. Step 2: Convert to fraction form
    205,000.72/307,475.64 = 55,252.72/x
  3. Step 3: Cross multiply
    205,000.72x = 307,475.64 × 55,252.72
  4. Step 4: Simplify right side
    205,000.72x = 16,988,865,443.74
  5. Step 5: Solve for x
    x = 16,988,865,443.74/205,000.72
  6. Step 6: Final answer
    x = 82,872.22

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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.