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Finding the Fourth Proportional to 45,840, 68,768.64 and 21,216

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Solution

The fourth proportional to 45,840, 68,768.64 and 21,216 is: 31,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,840 : 68,768.64 = 21,216 : x
  2. Step 2: Convert to fraction form
    45,840/68,768.64 = 21,216/x
  3. Step 3: Cross multiply
    45,840x = 68,768.64 × 21,216
  4. Step 4: Simplify right side
    45,840x = 1,458,995,466.24
  5. Step 5: Solve for x
    x = 1,458,995,466.24/45,840
  6. Step 6: Final answer
    x = 31,828.00

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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.