Home / 106,190.16-159,309-31,309.44

Finding the Fourth Proportional to 106,190.16, 159,309 and 31,309.44

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Solution

The fourth proportional to 106,190.16, 159,309 and 31,309.44 is: 46,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,190.16 : 159,309 = 31,309.44 : x
  2. Step 2: Convert to fraction form
    106,190.16/159,309 = 31,309.44/x
  3. Step 3: Cross multiply
    106,190.16x = 159,309 × 31,309.44
  4. Step 4: Simplify right side
    106,190.16x = 4,987,875,576.96
  5. Step 5: Solve for x
    x = 4,987,875,576.96/106,190.16
  6. Step 6: Final answer
    x = 46,971.17

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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.