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Finding the Fourth Proportional to 190,170, 262,434.60 and 105,292.53

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Solution

The fourth proportional to 190,170, 262,434.60 and 105,292.53 is: 145,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170 : 262,434.60 = 105,292.53 : x
  2. Step 2: Convert to fraction form
    190,170/262,434.60 = 105,292.53/x
  3. Step 3: Cross multiply
    190,170x = 262,434.60 × 105,292.53
  4. Step 4: Simplify right side
    190,170x = 27,632,402,993.54
  5. Step 5: Solve for x
    x = 27,632,402,993.54/190,170
  6. Step 6: Final answer
    x = 145,303.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.