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Finding the Fourth Proportional to 103,129.89, 154,696.28 and 29,257.89

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Solution

The fourth proportional to 103,129.89, 154,696.28 and 29,257.89 is: 43,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,129.89 : 154,696.28 = 29,257.89 : x
  2. Step 2: Convert to fraction form
    103,129.89/154,696.28 = 29,257.89/x
  3. Step 3: Cross multiply
    103,129.89x = 154,696.28 × 29,257.89
  4. Step 4: Simplify right side
    103,129.89x = 4,526,086,597.36
  5. Step 5: Solve for x
    x = 4,526,086,597.36/103,129.89
  6. Step 6: Final answer
    x = 43,887.24

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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.