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Finding the Fourth Proportional to 45,346, 68,022.92 and 12,514

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Solution

The fourth proportional to 45,346, 68,022.92 and 12,514 is: 18,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346 : 68,022.92 = 12,514 : x
  2. Step 2: Convert to fraction form
    45,346/68,022.92 = 12,514/x
  3. Step 3: Cross multiply
    45,346x = 68,022.92 × 12,514
  4. Step 4: Simplify right side
    45,346x = 851,238,820.88
  5. Step 5: Solve for x
    x = 851,238,820.88/45,346
  6. Step 6: Final answer
    x = 18,772.08

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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.