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Finding the Fourth Proportional to 190,489.73, 285,714.54 and 78,181.81

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Solution

The fourth proportional to 190,489.73, 285,714.54 and 78,181.81 is: 117,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,489.73 : 285,714.54 = 78,181.81 : x
  2. Step 2: Convert to fraction form
    190,489.73/285,714.54 = 78,181.81/x
  3. Step 3: Cross multiply
    190,489.73x = 285,714.54 × 78,181.81
  4. Step 4: Simplify right side
    190,489.73x = 22,337,679,166.23
  5. Step 5: Solve for x
    x = 22,337,679,166.23/190,489.73
  6. Step 6: Final answer
    x = 117,264.48

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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.