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Finding the Fourth Proportional to 190,847.80, 286,271.70 and 111,921.40

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Solution

The fourth proportional to 190,847.80, 286,271.70 and 111,921.40 is: 167,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,847.80 : 286,271.70 = 111,921.40 : x
  2. Step 2: Convert to fraction form
    190,847.80/286,271.70 = 111,921.40/x
  3. Step 3: Cross multiply
    190,847.80x = 286,271.70 × 111,921.40
  4. Step 4: Simplify right side
    190,847.80x = 32,039,929,444.38
  5. Step 5: Solve for x
    x = 32,039,929,444.38/190,847.80
  6. Step 6: Final answer
    x = 167,882.10

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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.