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Finding the Fourth Proportional to 136,560, 204,840.12 and 38,064

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Solution

The fourth proportional to 136,560, 204,840.12 and 38,064 is: 57,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,560 : 204,840.12 = 38,064 : x
  2. Step 2: Convert to fraction form
    136,560/204,840.12 = 38,064/x
  3. Step 3: Cross multiply
    136,560x = 204,840.12 × 38,064
  4. Step 4: Simplify right side
    136,560x = 7,797,034,327.68
  5. Step 5: Solve for x
    x = 7,797,034,327.68/136,560
  6. Step 6: Final answer
    x = 57,096.03

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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.