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Finding the Fourth Proportional to 209,696.04, 289,443.78 and 142,666.92

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Solution

The fourth proportional to 209,696.04, 289,443.78 and 142,666.92 is: 196,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696.04 : 289,443.78 = 142,666.92 : x
  2. Step 2: Convert to fraction form
    209,696.04/289,443.78 = 142,666.92/x
  3. Step 3: Cross multiply
    209,696.04x = 289,443.78 × 142,666.92
  4. Step 4: Simplify right side
    209,696.04x = 41,294,052,605.76
  5. Step 5: Solve for x
    x = 41,294,052,605.76/209,696.04
  6. Step 6: Final answer
    x = 196,923.38

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1.5x scale

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.