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Finding the Fourth Proportional to 206,467.88, 309,492.66 and 139,914.74

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Solution

The fourth proportional to 206,467.88, 309,492.66 and 139,914.74 is: 209,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.88 : 309,492.66 = 139,914.74 : x
  2. Step 2: Convert to fraction form
    206,467.88/309,492.66 = 139,914.74/x
  3. Step 3: Cross multiply
    206,467.88x = 309,492.66 × 139,914.74
  4. Step 4: Simplify right side
    206,467.88x = 43,302,585,055.81
  5. Step 5: Solve for x
    x = 43,302,585,055.81/206,467.88
  6. Step 6: Final answer
    x = 209,730.37

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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.