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Finding the Fourth Proportional to 159,588, 220,067.76 and 105,154.44

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Solution

The fourth proportional to 159,588, 220,067.76 and 105,154.44 is: 145,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588 : 220,067.76 = 105,154.44 : x
  2. Step 2: Convert to fraction form
    159,588/220,067.76 = 105,154.44/x
  3. Step 3: Cross multiply
    159,588x = 220,067.76 × 105,154.44
  4. Step 4: Simplify right side
    159,588x = 23,141,102,064.85
  5. Step 5: Solve for x
    x = 23,141,102,064.85/159,588
  6. Step 6: Final answer
    x = 145,005.28

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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.