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Finding the Fourth Proportional to 199,518, 299,412.68 and 81,210.89

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Solution

The fourth proportional to 199,518, 299,412.68 and 81,210.89 is: 121,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,518 : 299,412.68 = 81,210.89 : x
  2. Step 2: Convert to fraction form
    199,518/299,412.68 = 81,210.89/x
  3. Step 3: Cross multiply
    199,518x = 299,412.68 × 81,210.89
  4. Step 4: Simplify right side
    199,518x = 24,315,568,316.97
  5. Step 5: Solve for x
    x = 24,315,568,316.97/199,518
  6. Step 6: Final answer
    x = 121,871.55

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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.