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Finding the Fourth Proportional to 159,206.16, 238,612.41 and 80,342.94

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Solution

The fourth proportional to 159,206.16, 238,612.41 and 80,342.94 is: 120,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206.16 : 238,612.41 = 80,342.94 : x
  2. Step 2: Convert to fraction form
    159,206.16/238,612.41 = 80,342.94/x
  3. Step 3: Cross multiply
    159,206.16x = 238,612.41 × 80,342.94
  4. Step 4: Simplify right side
    159,206.16x = 19,170,822,539.89
  5. Step 5: Solve for x
    x = 19,170,822,539.89/159,206.16
  6. Step 6: Final answer
    x = 120,415.08

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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.