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Finding the Fourth Proportional to 190,978.56, 286,001.28 and 164,851.20

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Solution

The fourth proportional to 190,978.56, 286,001.28 and 164,851.20 is: 246,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,978.56 : 286,001.28 = 164,851.20 : x
  2. Step 2: Convert to fraction form
    190,978.56/286,001.28 = 164,851.20/x
  3. Step 3: Cross multiply
    190,978.56x = 286,001.28 × 164,851.20
  4. Step 4: Simplify right side
    190,978.56x = 47,147,654,209.54
  5. Step 5: Solve for x
    x = 47,147,654,209.54/190,978.56
  6. Step 6: Final answer
    x = 246,874.07

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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.