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Finding the Fourth Proportional to 144,847.51, 199,888.93 and 81,185.31

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Solution

The fourth proportional to 144,847.51, 199,888.93 and 81,185.31 is: 112,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,847.51 : 199,888.93 = 81,185.31 : x
  2. Step 2: Convert to fraction form
    144,847.51/199,888.93 = 81,185.31/x
  3. Step 3: Cross multiply
    144,847.51x = 199,888.93 × 81,185.31
  4. Step 4: Simplify right side
    144,847.51x = 16,228,044,747.62
  5. Step 5: Solve for x
    x = 16,228,044,747.62/144,847.51
  6. Step 6: Final answer
    x = 112,035.37

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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.