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Finding the Fourth Proportional to 45,736, 68,607.84 and 12,904

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Solution

The fourth proportional to 45,736, 68,607.84 and 12,904 is: 19,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,736 : 68,607.84 = 12,904 : x
  2. Step 2: Convert to fraction form
    45,736/68,607.84 = 12,904/x
  3. Step 3: Cross multiply
    45,736x = 68,607.84 × 12,904
  4. Step 4: Simplify right side
    45,736x = 885,315,567.36
  5. Step 5: Solve for x
    x = 885,315,567.36/45,736
  6. Step 6: Final answer
    x = 19,357.08

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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.