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Finding the Fourth Proportional to 159,215.16, 238,625.91 and 80,351.94

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Solution

The fourth proportional to 159,215.16, 238,625.91 and 80,351.94 is: 120,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,215.16 : 238,625.91 = 80,351.94 : x
  2. Step 2: Convert to fraction form
    159,215.16/238,625.91 = 80,351.94/x
  3. Step 3: Cross multiply
    159,215.16x = 238,625.91 × 80,351.94
  4. Step 4: Simplify right side
    159,215.16x = 19,174,054,802.77
  5. Step 5: Solve for x
    x = 19,174,054,802.77/159,215.16
  6. Step 6: Final answer
    x = 120,428.57

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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.