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Finding the Fourth Proportional to 129,055.78, 178,138.74 and 83,653.66

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Solution

The fourth proportional to 129,055.78, 178,138.74 and 83,653.66 is: 115,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055.78 : 178,138.74 = 83,653.66 : x
  2. Step 2: Convert to fraction form
    129,055.78/178,138.74 = 83,653.66/x
  3. Step 3: Cross multiply
    129,055.78x = 178,138.74 × 83,653.66
  4. Step 4: Simplify right side
    129,055.78x = 14,901,957,588.79
  5. Step 5: Solve for x
    x = 14,901,957,588.79/129,055.78
  6. Step 6: Final answer
    x = 115,469.12

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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.