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Finding the Fourth Proportional to 103,383, 155,064.78 and 36,820.44

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Solution

The fourth proportional to 103,383, 155,064.78 and 36,820.44 is: 55,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,383 : 155,064.78 = 36,820.44 : x
  2. Step 2: Convert to fraction form
    103,383/155,064.78 = 36,820.44/x
  3. Step 3: Cross multiply
    103,383x = 155,064.78 × 36,820.44
  4. Step 4: Simplify right side
    103,383x = 5,709,553,428.10
  5. Step 5: Solve for x
    x = 5,709,553,428.10/103,383
  6. Step 6: Final answer
    x = 55,227.20

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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.