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Finding the Fourth Proportional to 209,997.81, 289,798.29 and 114,506.10

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Solution

The fourth proportional to 209,997.81, 289,798.29 and 114,506.10 is: 158,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,997.81 : 289,798.29 = 114,506.10 : x
  2. Step 2: Convert to fraction form
    209,997.81/289,798.29 = 114,506.10/x
  3. Step 3: Cross multiply
    209,997.81x = 289,798.29 × 114,506.10
  4. Step 4: Simplify right side
    209,997.81x = 33,183,671,974.57
  5. Step 5: Solve for x
    x = 33,183,671,974.57/209,997.81
  6. Step 6: Final answer
    x = 158,019.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.