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Finding the Fourth Proportional to 199,968.18, 300,062.98 and 119,809.16

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Solution

The fourth proportional to 199,968.18, 300,062.98 and 119,809.16 is: 179,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,968.18 : 300,062.98 = 119,809.16 : x
  2. Step 2: Convert to fraction form
    199,968.18/300,062.98 = 119,809.16/x
  3. Step 3: Cross multiply
    199,968.18x = 300,062.98 × 119,809.16
  4. Step 4: Simplify right side
    199,968.18x = 35,950,293,355.58
  5. Step 5: Solve for x
    x = 35,950,293,355.58/199,968.18
  6. Step 6: Final answer
    x = 179,780.07

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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.