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Finding the Fourth Proportional to 190,880.40, 286,075.80 and 106,640.40

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Solution

The fourth proportional to 190,880.40, 286,075.80 and 106,640.40 is: 159,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,880.40 : 286,075.80 = 106,640.40 : x
  2. Step 2: Convert to fraction form
    190,880.40/286,075.80 = 106,640.40/x
  3. Step 3: Cross multiply
    190,880.40x = 286,075.80 × 106,640.40
  4. Step 4: Simplify right side
    190,880.40x = 30,507,237,742.32
  5. Step 5: Solve for x
    x = 30,507,237,742.32/190,880.40
  6. Step 6: Final answer
    x = 159,823.84

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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.