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Finding the Fourth Proportional to 190,739.80, 286,109.70 and 57,640.60

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Solution

The fourth proportional to 190,739.80, 286,109.70 and 57,640.60 is: 86,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,739.80 : 286,109.70 = 57,640.60 : x
  2. Step 2: Convert to fraction form
    190,739.80/286,109.70 = 57,640.60/x
  3. Step 3: Cross multiply
    190,739.80x = 286,109.70 × 57,640.60
  4. Step 4: Simplify right side
    190,739.80x = 16,491,534,773.82
  5. Step 5: Solve for x
    x = 16,491,534,773.82/190,739.80
  6. Step 6: Final answer
    x = 86,460.90

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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.