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Finding the Fourth Proportional to 199,521.60, 299,133.60 and 120,619.20

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Solution

The fourth proportional to 199,521.60, 299,133.60 and 120,619.20 is: 180,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,521.60 : 299,133.60 = 120,619.20 : x
  2. Step 2: Convert to fraction form
    199,521.60/299,133.60 = 120,619.20/x
  3. Step 3: Cross multiply
    199,521.60x = 299,133.60 × 120,619.20
  4. Step 4: Simplify right side
    199,521.60x = 36,081,255,525.12
  5. Step 5: Solve for x
    x = 36,081,255,525.12/199,521.60
  6. Step 6: Final answer
    x = 180,838.84

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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.