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Finding the Fourth Proportional to 45,648.80, 68,466.24 and 14,480

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Solution

The fourth proportional to 45,648.80, 68,466.24 and 14,480 is: 21,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,648.80 : 68,466.24 = 14,480 : x
  2. Step 2: Convert to fraction form
    45,648.80/68,466.24 = 14,480/x
  3. Step 3: Cross multiply
    45,648.80x = 68,466.24 × 14,480
  4. Step 4: Simplify right side
    45,648.80x = 991,391,155.20
  5. Step 5: Solve for x
    x = 991,391,155.20/45,648.80
  6. Step 6: Final answer
    x = 21,717.79

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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.