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Finding the Fourth Proportional to 190,859.71, 286,245.81 and 85,708.75

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Solution

The fourth proportional to 190,859.71, 286,245.81 and 85,708.75 is: 128,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,859.71 : 286,245.81 = 85,708.75 : x
  2. Step 2: Convert to fraction form
    190,859.71/286,245.81 = 85,708.75/x
  3. Step 3: Cross multiply
    190,859.71x = 286,245.81 × 85,708.75
  4. Step 4: Simplify right side
    190,859.71x = 24,533,770,567.84
  5. Step 5: Solve for x
    x = 24,533,770,567.84/190,859.71
  6. Step 6: Final answer
    x = 128,543.48

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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.