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Finding the Fourth Proportional to 209,887.60, 289,651.65 and 119,241.92

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Solution

The fourth proportional to 209,887.60, 289,651.65 and 119,241.92 is: 164,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,887.60 : 289,651.65 = 119,241.92 : x
  2. Step 2: Convert to fraction form
    209,887.60/289,651.65 = 119,241.92/x
  3. Step 3: Cross multiply
    209,887.60x = 289,651.65 × 119,241.92
  4. Step 4: Simplify right side
    209,887.60x = 34,538,618,877.17
  5. Step 5: Solve for x
    x = 34,538,618,877.17/209,887.60
  6. Step 6: Final answer
    x = 164,557.69

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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.