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Finding the Fourth Proportional to 190,859.20, 286,288.80 and 148,868.80

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Solution

The fourth proportional to 190,859.20, 286,288.80 and 148,868.80 is: 223,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,859.20 : 286,288.80 = 148,868.80 : x
  2. Step 2: Convert to fraction form
    190,859.20/286,288.80 = 148,868.80/x
  3. Step 3: Cross multiply
    190,859.20x = 286,288.80 × 148,868.80
  4. Step 4: Simplify right side
    190,859.20x = 42,619,470,109.44
  5. Step 5: Solve for x
    x = 42,619,470,109.44/190,859.20
  6. Step 6: Final answer
    x = 223,303.20

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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.