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Finding the Fourth Proportional to 209,920.53, 289,679.39 and 119,263.91

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Solution

The fourth proportional to 209,920.53, 289,679.39 and 119,263.91 is: 164,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.53 : 289,679.39 = 119,263.91 : x
  2. Step 2: Convert to fraction form
    209,920.53/289,679.39 = 119,263.91/x
  3. Step 3: Cross multiply
    209,920.53x = 289,679.39 × 119,263.91
  4. Step 4: Simplify right side
    209,920.53x = 34,548,296,697.81
  5. Step 5: Solve for x
    x = 34,548,296,697.81/209,920.53
  6. Step 6: Final answer
    x = 164,577.98

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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.