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Finding the Fourth Proportional to 209,874.86, 289,635.11 and 119,246.18

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Solution

The fourth proportional to 209,874.86, 289,635.11 and 119,246.18 is: 164,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,874.86 : 289,635.11 = 119,246.18 : x
  2. Step 2: Convert to fraction form
    209,874.86/289,635.11 = 119,246.18/x
  3. Step 3: Cross multiply
    209,874.86x = 289,635.11 × 119,246.18
  4. Step 4: Simplify right side
    209,874.86x = 34,537,881,483.58
  5. Step 5: Solve for x
    x = 34,537,881,483.58/209,874.86
  6. Step 6: Final answer
    x = 164,564.17

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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.