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Finding the Fourth Proportional to 199,931.20, 299,410.80 and 106,230.40

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Solution

The fourth proportional to 199,931.20, 299,410.80 and 106,230.40 is: 159,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,931.20 : 299,410.80 = 106,230.40 : x
  2. Step 2: Convert to fraction form
    199,931.20/299,410.80 = 106,230.40/x
  3. Step 3: Cross multiply
    199,931.20x = 299,410.80 × 106,230.40
  4. Step 4: Simplify right side
    199,931.20x = 31,806,529,048.32
  5. Step 5: Solve for x
    x = 31,806,529,048.32/199,931.20
  6. Step 6: Final answer
    x = 159,087.37

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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.