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Finding the Fourth Proportional to 217,082.98, 299,611.60 and 126,492.65

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Solution

The fourth proportional to 217,082.98, 299,611.60 and 126,492.65 is: 174,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,082.98 : 299,611.60 = 126,492.65 : x
  2. Step 2: Convert to fraction form
    217,082.98/299,611.60 = 126,492.65/x
  3. Step 3: Cross multiply
    217,082.98x = 299,611.60 × 126,492.65
  4. Step 4: Simplify right side
    217,082.98x = 37,898,665,254.74
  5. Step 5: Solve for x
    x = 37,898,665,254.74/217,082.98
  6. Step 6: Final answer
    x = 174,581.47

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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.