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Finding the Fourth Proportional to 136,536, 204,838.56 and 38,040

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Solution

The fourth proportional to 136,536, 204,838.56 and 38,040 is: 57,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,536 : 204,838.56 = 38,040 : x
  2. Step 2: Convert to fraction form
    136,536/204,838.56 = 38,040/x
  3. Step 3: Cross multiply
    136,536x = 204,838.56 × 38,040
  4. Step 4: Simplify right side
    136,536x = 7,792,058,822.40
  5. Step 5: Solve for x
    x = 7,792,058,822.40/136,536
  6. Step 6: Final answer
    x = 57,069.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.