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Finding the Fourth Proportional to 36,000, 49,681.44 and 20,085.84

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Solution

The fourth proportional to 36,000, 49,681.44 and 20,085.84 is: 27,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 49,681.44 = 20,085.84 : x
  2. Step 2: Convert to fraction form
    36,000/49,681.44 = 20,085.84/x
  3. Step 3: Cross multiply
    36,000x = 49,681.44 × 20,085.84
  4. Step 4: Simplify right side
    36,000x = 997,893,454.81
  5. Step 5: Solve for x
    x = 997,893,454.81/36,000
  6. Step 6: Final answer
    x = 27,719.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.