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Finding the Fourth Proportional to 199,919.12, 299,730.54 and 121,014.68

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Solution

The fourth proportional to 199,919.12, 299,730.54 and 121,014.68 is: 181,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,919.12 : 299,730.54 = 121,014.68 : x
  2. Step 2: Convert to fraction form
    199,919.12/299,730.54 = 121,014.68/x
  3. Step 3: Cross multiply
    199,919.12x = 299,730.54 × 121,014.68
  4. Step 4: Simplify right side
    199,919.12x = 36,271,795,384.33
  5. Step 5: Solve for x
    x = 36,271,795,384.33/199,919.12
  6. Step 6: Final answer
    x = 181,432.35

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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.