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Finding the Fourth Proportional to 45,171.91, 67,768.63 and 15,590

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Solution

The fourth proportional to 45,171.91, 67,768.63 and 15,590 is: 23,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,171.91 : 67,768.63 = 15,590 : x
  2. Step 2: Convert to fraction form
    45,171.91/67,768.63 = 15,590/x
  3. Step 3: Cross multiply
    45,171.91x = 67,768.63 × 15,590
  4. Step 4: Simplify right side
    45,171.91x = 1,056,512,941.70
  5. Step 5: Solve for x
    x = 1,056,512,941.70/45,171.91
  6. Step 6: Final answer
    x = 23,388.72

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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.