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Finding the Fourth Proportional to 199,368.85, 299,082.98 and 71,275.45

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Solution

The fourth proportional to 199,368.85, 299,082.98 and 71,275.45 is: 106,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,368.85 : 299,082.98 = 71,275.45 : x
  2. Step 2: Convert to fraction form
    199,368.85/299,082.98 = 71,275.45/x
  3. Step 3: Cross multiply
    199,368.85x = 299,082.98 × 71,275.45
  4. Step 4: Simplify right side
    199,368.85x = 21,317,273,630.46
  5. Step 5: Solve for x
    x = 21,317,273,630.46/199,368.85
  6. Step 6: Final answer
    x = 106,923.79

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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.