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Finding the Fourth Proportional to 190,448.20, 285,691.74 and 65,773

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Solution

The fourth proportional to 190,448.20, 285,691.74 and 65,773 is: 98,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,448.20 : 285,691.74 = 65,773 : x
  2. Step 2: Convert to fraction form
    190,448.20/285,691.74 = 65,773/x
  3. Step 3: Cross multiply
    190,448.20x = 285,691.74 × 65,773
  4. Step 4: Simplify right side
    190,448.20x = 18,790,802,815.02
  5. Step 5: Solve for x
    x = 18,790,802,815.02/190,448.20
  6. Step 6: Final answer
    x = 98,666.21

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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.