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Finding the Fourth Proportional to 198,313, 273,686.58 and 122,876.20

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Solution

The fourth proportional to 198,313, 273,686.58 and 122,876.20 is: 169,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,313 : 273,686.58 = 122,876.20 : x
  2. Step 2: Convert to fraction form
    198,313/273,686.58 = 122,876.20/x
  3. Step 3: Cross multiply
    198,313x = 273,686.58 × 122,876.20
  4. Step 4: Simplify right side
    198,313x = 33,629,566,941.40
  5. Step 5: Solve for x
    x = 33,629,566,941.40/198,313
  6. Step 6: Final answer
    x = 169,578.23

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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.