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Finding the Fourth Proportional to 102,736.78, 154,117.46 and 43,564.75

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Solution

The fourth proportional to 102,736.78, 154,117.46 and 43,564.75 is: 65,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736.78 : 154,117.46 = 43,564.75 : x
  2. Step 2: Convert to fraction form
    102,736.78/154,117.46 = 43,564.75/x
  3. Step 3: Cross multiply
    102,736.78x = 154,117.46 × 43,564.75
  4. Step 4: Simplify right side
    102,736.78x = 6,714,088,615.54
  5. Step 5: Solve for x
    x = 6,714,088,615.54/102,736.78
  6. Step 6: Final answer
    x = 65,352.34

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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.