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Finding the Fourth Proportional to 209,851.86, 314,479.72 and 161,638.18

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Solution

The fourth proportional to 209,851.86, 314,479.72 and 161,638.18 is: 242,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,851.86 : 314,479.72 = 161,638.18 : x
  2. Step 2: Convert to fraction form
    209,851.86/314,479.72 = 161,638.18/x
  3. Step 3: Cross multiply
    209,851.86x = 314,479.72 × 161,638.18
  4. Step 4: Simplify right side
    209,851.86x = 50,831,929,863.29
  5. Step 5: Solve for x
    x = 50,831,929,863.29/209,851.86
  6. Step 6: Final answer
    x = 242,227.68

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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.