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Finding the Fourth Proportional to 102,917.70, 154,704.60 and 97,012.80

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Solution

The fourth proportional to 102,917.70, 154,704.60 and 97,012.80 is: 145,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,917.70 : 154,704.60 = 97,012.80 : x
  2. Step 2: Convert to fraction form
    102,917.70/154,704.60 = 97,012.80/x
  3. Step 3: Cross multiply
    102,917.70x = 154,704.60 × 97,012.80
  4. Step 4: Simplify right side
    102,917.70x = 15,008,326,418.88
  5. Step 5: Solve for x
    x = 15,008,326,418.88/102,917.70
  6. Step 6: Final answer
    x = 145,828.43

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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.