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Finding the Fourth Proportional to 207,492.51, 311,317.20 and 81,223

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Solution

The fourth proportional to 207,492.51, 311,317.20 and 81,223 is: 121,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,492.51 : 311,317.20 = 81,223 : x
  2. Step 2: Convert to fraction form
    207,492.51/311,317.20 = 81,223/x
  3. Step 3: Cross multiply
    207,492.51x = 311,317.20 × 81,223
  4. Step 4: Simplify right side
    207,492.51x = 25,286,116,935.60
  5. Step 5: Solve for x
    x = 25,286,116,935.60/207,492.51
  6. Step 6: Final answer
    x = 121,865.20

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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.