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Finding the Fourth Proportional to 45,143, 67,714.52 and 12,311

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Solution

The fourth proportional to 45,143, 67,714.52 and 12,311 is: 18,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,143 : 67,714.52 = 12,311 : x
  2. Step 2: Convert to fraction form
    45,143/67,714.52 = 12,311/x
  3. Step 3: Cross multiply
    45,143x = 67,714.52 × 12,311
  4. Step 4: Simplify right side
    45,143x = 833,633,455.72
  5. Step 5: Solve for x
    x = 833,633,455.72/45,143
  6. Step 6: Final answer
    x = 18,466.51

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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.