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Finding the Fourth Proportional to 137,410.40, 206,180.40 and 102,418.40

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Solution

The fourth proportional to 137,410.40, 206,180.40 and 102,418.40 is: 153,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.40 : 206,180.40 = 102,418.40 : x
  2. Step 2: Convert to fraction form
    137,410.40/206,180.40 = 102,418.40/x
  3. Step 3: Cross multiply
    137,410.40x = 206,180.40 × 102,418.40
  4. Step 4: Simplify right side
    137,410.40x = 21,116,666,679.36
  5. Step 5: Solve for x
    x = 21,116,666,679.36/137,410.40
  6. Step 6: Final answer
    x = 153,675.90

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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.