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Finding the Fourth Proportional to 190,782.80, 286,303.80 and 106,542.80

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Solution

The fourth proportional to 190,782.80, 286,303.80 and 106,542.80 is: 159,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782.80 : 286,303.80 = 106,542.80 : x
  2. Step 2: Convert to fraction form
    190,782.80/286,303.80 = 106,542.80/x
  3. Step 3: Cross multiply
    190,782.80x = 286,303.80 × 106,542.80
  4. Step 4: Simplify right side
    190,782.80x = 30,503,608,502.64
  5. Step 5: Solve for x
    x = 30,503,608,502.64/190,782.80
  6. Step 6: Final answer
    x = 159,886.58

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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.