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Finding the Fourth Proportional to 199,121.60, 299,143.20 and 136,913.60

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Solution

The fourth proportional to 199,121.60, 299,143.20 and 136,913.60 is: 205,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,121.60 : 299,143.20 = 136,913.60 : x
  2. Step 2: Convert to fraction form
    199,121.60/299,143.20 = 136,913.60/x
  3. Step 3: Cross multiply
    199,121.60x = 299,143.20 × 136,913.60
  4. Step 4: Simplify right side
    199,121.60x = 40,956,772,427.52
  5. Step 5: Solve for x
    x = 40,956,772,427.52/199,121.60
  6. Step 6: Final answer
    x = 205,687.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.