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Finding the Fourth Proportional to 190,648, 285,991.44 and 65,988.64

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Solution

The fourth proportional to 190,648, 285,991.44 and 65,988.64 is: 98,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,648 : 285,991.44 = 65,988.64 : x
  2. Step 2: Convert to fraction form
    190,648/285,991.44 = 65,988.64/x
  3. Step 3: Cross multiply
    190,648x = 285,991.44 × 65,988.64
  4. Step 4: Simplify right side
    190,648x = 18,872,186,177.24
  5. Step 5: Solve for x
    x = 18,872,186,177.24/190,648
  6. Step 6: Final answer
    x = 98,989.69

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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.