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Finding the Fourth Proportional to 103,629, 155,469.60 and 29,757

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Solution

The fourth proportional to 103,629, 155,469.60 and 29,757 is: 44,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 155,469.60 = 29,757 : x
  2. Step 2: Convert to fraction form
    103,629/155,469.60 = 29,757/x
  3. Step 3: Cross multiply
    103,629x = 155,469.60 × 29,757
  4. Step 4: Simplify right side
    103,629x = 4,626,308,887.20
  5. Step 5: Solve for x
    x = 4,626,308,887.20/103,629
  6. Step 6: Final answer
    x = 44,642.99

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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.