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Finding the Fourth Proportional to 129,574.78, 178,857.93 and 75,877.06

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Solution

The fourth proportional to 129,574.78, 178,857.93 and 75,877.06 is: 104,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,574.78 : 178,857.93 = 75,877.06 : x
  2. Step 2: Convert to fraction form
    129,574.78/178,857.93 = 75,877.06/x
  3. Step 3: Cross multiply
    129,574.78x = 178,857.93 × 75,877.06
  4. Step 4: Simplify right side
    129,574.78x = 13,571,213,886.09
  5. Step 5: Solve for x
    x = 13,571,213,886.09/129,574.78
  6. Step 6: Final answer
    x = 104,736.54

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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.