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Finding the Fourth Proportional to 190,129.30, 285,208.80 and 84,958.90

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Solution

The fourth proportional to 190,129.30, 285,208.80 and 84,958.90 is: 127,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,129.30 : 285,208.80 = 84,958.90 : x
  2. Step 2: Convert to fraction form
    190,129.30/285,208.80 = 84,958.90/x
  3. Step 3: Cross multiply
    190,129.30x = 285,208.80 × 84,958.90
  4. Step 4: Simplify right side
    190,129.30x = 24,231,025,918.32
  5. Step 5: Solve for x
    x = 24,231,025,918.32/190,129.30
  6. Step 6: Final answer
    x = 127,444.99

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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.