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Finding the Fourth Proportional to 137,426.40, 205,736.40 and 102,520.80

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Solution

The fourth proportional to 137,426.40, 205,736.40 and 102,520.80 is: 153,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,426.40 : 205,736.40 = 102,520.80 : x
  2. Step 2: Convert to fraction form
    137,426.40/205,736.40 = 102,520.80/x
  3. Step 3: Cross multiply
    137,426.40x = 205,736.40 × 102,520.80
  4. Step 4: Simplify right side
    137,426.40x = 21,092,260,317.12
  5. Step 5: Solve for x
    x = 21,092,260,317.12/137,426.40
  6. Step 6: Final answer
    x = 153,480.41

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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.