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Finding the Fourth Proportional to 199,082, 274,733.16 and 109,658

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Solution

The fourth proportional to 199,082, 274,733.16 and 109,658 is: 151,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,082 : 274,733.16 = 109,658 : x
  2. Step 2: Convert to fraction form
    199,082/274,733.16 = 109,658/x
  3. Step 3: Cross multiply
    199,082x = 274,733.16 × 109,658
  4. Step 4: Simplify right side
    199,082x = 30,126,688,859.28
  5. Step 5: Solve for x
    x = 30,126,688,859.28/199,082
  6. Step 6: Final answer
    x = 151,328.04

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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.