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Finding the Fourth Proportional to 129,563.52, 178,790.76 and 72,971.28

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Solution

The fourth proportional to 129,563.52, 178,790.76 and 72,971.28 is: 100,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,563.52 : 178,790.76 = 72,971.28 : x
  2. Step 2: Convert to fraction form
    129,563.52/178,790.76 = 72,971.28/x
  3. Step 3: Cross multiply
    129,563.52x = 178,790.76 × 72,971.28
  4. Step 4: Simplify right side
    129,563.52x = 13,046,590,609.37
  5. Step 5: Solve for x
    x = 13,046,590,609.37/129,563.52
  6. Step 6: Final answer
    x = 100,696.48

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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.