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Finding the Fourth Proportional to 190,698.54, 286,061.49 and 50,455.50

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Solution

The fourth proportional to 190,698.54, 286,061.49 and 50,455.50 is: 75,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,698.54 : 286,061.49 = 50,455.50 : x
  2. Step 2: Convert to fraction form
    190,698.54/286,061.49 = 50,455.50/x
  3. Step 3: Cross multiply
    190,698.54x = 286,061.49 × 50,455.50
  4. Step 4: Simplify right side
    190,698.54x = 14,433,375,508.70
  5. Step 5: Solve for x
    x = 14,433,375,508.70/190,698.54
  6. Step 6: Final answer
    x = 75,686.87

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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.