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Finding the Fourth Proportional to 129,351, 178,477.50 and 75,625.48

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Solution

The fourth proportional to 129,351, 178,477.50 and 75,625.48 is: 104,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,351 : 178,477.50 = 75,625.48 : x
  2. Step 2: Convert to fraction form
    129,351/178,477.50 = 75,625.48/x
  3. Step 3: Cross multiply
    129,351x = 178,477.50 × 75,625.48
  4. Step 4: Simplify right side
    129,351x = 13,497,446,606.70
  5. Step 5: Solve for x
    x = 13,497,446,606.70/129,351
  6. Step 6: Final answer
    x = 104,347.45

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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.