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Finding the Fourth Proportional to 199,038, 274,681.32 and 117,369.54

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Solution

The fourth proportional to 199,038, 274,681.32 and 117,369.54 is: 161,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,038 : 274,681.32 = 117,369.54 : x
  2. Step 2: Convert to fraction form
    199,038/274,681.32 = 117,369.54/x
  3. Step 3: Cross multiply
    199,038x = 274,681.32 × 117,369.54
  4. Step 4: Simplify right side
    199,038x = 32,239,220,174.99
  5. Step 5: Solve for x
    x = 32,239,220,174.99/199,038
  6. Step 6: Final answer
    x = 161,975.20

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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.