Home / 106,116.16-159,119.47-31,226.58

Finding the Fourth Proportional to 106,116.16, 159,119.47 and 31,226.58

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Solution

The fourth proportional to 106,116.16, 159,119.47 and 31,226.58 is: 46,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.16 : 159,119.47 = 31,226.58 : x
  2. Step 2: Convert to fraction form
    106,116.16/159,119.47 = 31,226.58/x
  3. Step 3: Cross multiply
    106,116.16x = 159,119.47 × 31,226.58
  4. Step 4: Simplify right side
    106,116.16x = 4,968,756,859.51
  5. Step 5: Solve for x
    x = 4,968,756,859.51/106,116.16
  6. Step 6: Final answer
    x = 46,823.75

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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.