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Finding the Fourth Proportional to 149,051.78, 205,694.10 and 81,070.23

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Solution

The fourth proportional to 149,051.78, 205,694.10 and 81,070.23 is: 111,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,051.78 : 205,694.10 = 81,070.23 : x
  2. Step 2: Convert to fraction form
    149,051.78/205,694.10 = 81,070.23/x
  3. Step 3: Cross multiply
    149,051.78x = 205,694.10 × 81,070.23
  4. Step 4: Simplify right side
    149,051.78x = 16,675,668,768.00
  5. Step 5: Solve for x
    x = 16,675,668,768.00/149,051.78
  6. Step 6: Final answer
    x = 111,878.36

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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.