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Finding the Fourth Proportional to 209,468, 289,085.28 and 120,044

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Solution

The fourth proportional to 209,468, 289,085.28 and 120,044 is: 165,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,468 : 289,085.28 = 120,044 : x
  2. Step 2: Convert to fraction form
    209,468/289,085.28 = 120,044/x
  3. Step 3: Cross multiply
    209,468x = 289,085.28 × 120,044
  4. Step 4: Simplify right side
    209,468x = 34,702,953,352.32
  5. Step 5: Solve for x
    x = 34,702,953,352.32/209,468
  6. Step 6: Final answer
    x = 165,671.86

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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.