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Finding the Fourth Proportional to 190,858.60, 286,287.90 and 164,614.60

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Solution

The fourth proportional to 190,858.60, 286,287.90 and 164,614.60 is: 246,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,858.60 : 286,287.90 = 164,614.60 : x
  2. Step 2: Convert to fraction form
    190,858.60/286,287.90 = 164,614.60/x
  3. Step 3: Cross multiply
    190,858.60x = 286,287.90 × 164,614.60
  4. Step 4: Simplify right side
    190,858.60x = 47,127,168,143.34
  5. Step 5: Solve for x
    x = 47,127,168,143.34/190,858.60
  6. Step 6: Final answer
    x = 246,921.90

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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.