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Finding the Fourth Proportional to 102,989.70, 154,743.36 and 65,566.48

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Solution

The fourth proportional to 102,989.70, 154,743.36 and 65,566.48 is: 98,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,989.70 : 154,743.36 = 65,566.48 : x
  2. Step 2: Convert to fraction form
    102,989.70/154,743.36 = 65,566.48/x
  3. Step 3: Cross multiply
    102,989.70x = 154,743.36 × 65,566.48
  4. Step 4: Simplify right side
    102,989.70x = 10,145,977,418.57
  5. Step 5: Solve for x
    x = 10,145,977,418.57/102,989.70
  6. Step 6: Final answer
    x = 98,514.49

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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.