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Finding the Fourth Proportional to 209,605.94, 289,448.36 and 133,149.78

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Solution

The fourth proportional to 209,605.94, 289,448.36 and 133,149.78 is: 183,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,605.94 : 289,448.36 = 133,149.78 : x
  2. Step 2: Convert to fraction form
    209,605.94/289,448.36 = 133,149.78/x
  3. Step 3: Cross multiply
    209,605.94x = 289,448.36 × 133,149.78
  4. Step 4: Simplify right side
    209,605.94x = 38,539,985,455.36
  5. Step 5: Solve for x
    x = 38,539,985,455.36/209,605.94
  6. Step 6: Final answer
    x = 183,868.77

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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.