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Finding the Fourth Proportional to 159,762.19, 239,396.94 and 78,616.06

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Solution

The fourth proportional to 159,762.19, 239,396.94 and 78,616.06 is: 117,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,762.19 : 239,396.94 = 78,616.06 : x
  2. Step 2: Convert to fraction form
    159,762.19/239,396.94 = 78,616.06/x
  3. Step 3: Cross multiply
    159,762.19x = 239,396.94 × 78,616.06
  4. Step 4: Simplify right side
    159,762.19x = 18,820,444,198.86
  5. Step 5: Solve for x
    x = 18,820,444,198.86/159,762.19
  6. Step 6: Final answer
    x = 117,802.87

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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.