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Finding the Fourth Proportional to 137,219.40, 205,425.90 and 102,313.80

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Solution

The fourth proportional to 137,219.40, 205,425.90 and 102,313.80 is: 153,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.40 : 205,425.90 = 102,313.80 : x
  2. Step 2: Convert to fraction form
    137,219.40/205,425.90 = 102,313.80/x
  3. Step 3: Cross multiply
    137,219.40x = 205,425.90 × 102,313.80
  4. Step 4: Simplify right side
    137,219.40x = 21,017,904,447.42
  5. Step 5: Solve for x
    x = 21,017,904,447.42/137,219.40
  6. Step 6: Final answer
    x = 153,170.07

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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.