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Finding the Fourth Proportional to 143,293.88, 214,857.45 and 105,365.84

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Solution

The fourth proportional to 143,293.88, 214,857.45 and 105,365.84 is: 157,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,293.88 : 214,857.45 = 105,365.84 : x
  2. Step 2: Convert to fraction form
    143,293.88/214,857.45 = 105,365.84/x
  3. Step 3: Cross multiply
    143,293.88x = 214,857.45 × 105,365.84
  4. Step 4: Simplify right side
    143,293.88x = 22,638,634,625.22
  5. Step 5: Solve for x
    x = 22,638,634,625.22/143,293.88
  6. Step 6: Final answer
    x = 157,987.45

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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.