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Finding the Fourth Proportional to 138,354.25, 190,971.20 and 81,007.01

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Solution

The fourth proportional to 138,354.25, 190,971.20 and 81,007.01 is: 111,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,354.25 : 190,971.20 = 81,007.01 : x
  2. Step 2: Convert to fraction form
    138,354.25/190,971.20 = 81,007.01/x
  3. Step 3: Cross multiply
    138,354.25x = 190,971.20 × 81,007.01
  4. Step 4: Simplify right side
    138,354.25x = 15,470,006,588.06
  5. Step 5: Solve for x
    x = 15,470,006,588.06/138,354.25
  6. Step 6: Final answer
    x = 111,814.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.