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Finding the Fourth Proportional to 45,728, 68,603.52 and 12,896

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Solution

The fourth proportional to 45,728, 68,603.52 and 12,896 is: 19,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728 : 68,603.52 = 12,896 : x
  2. Step 2: Convert to fraction form
    45,728/68,603.52 = 12,896/x
  3. Step 3: Cross multiply
    45,728x = 68,603.52 × 12,896
  4. Step 4: Simplify right side
    45,728x = 884,710,993.92
  5. Step 5: Solve for x
    x = 884,710,993.92/45,728
  6. Step 6: Final answer
    x = 19,347.25

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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.