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Finding the Fourth Proportional to 190,945.50, 286,549.74 and 66,286.50

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Solution

The fourth proportional to 190,945.50, 286,549.74 and 66,286.50 is: 99,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,945.50 : 286,549.74 = 66,286.50 : x
  2. Step 2: Convert to fraction form
    190,945.50/286,549.74 = 66,286.50/x
  3. Step 3: Cross multiply
    190,945.50x = 286,549.74 × 66,286.50
  4. Step 4: Simplify right side
    190,945.50x = 18,994,379,340.51
  5. Step 5: Solve for x
    x = 18,994,379,340.51/190,945.50
  6. Step 6: Final answer
    x = 99,475.40

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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.