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Finding the Fourth Proportional to 105,721.80, 158,352.30 and 87,289.80

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Solution

The fourth proportional to 105,721.80, 158,352.30 and 87,289.80 is: 130,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,721.80 : 158,352.30 = 87,289.80 : x
  2. Step 2: Convert to fraction form
    105,721.80/158,352.30 = 87,289.80/x
  3. Step 3: Cross multiply
    105,721.80x = 158,352.30 × 87,289.80
  4. Step 4: Simplify right side
    105,721.80x = 13,822,540,596.54
  5. Step 5: Solve for x
    x = 13,822,540,596.54/105,721.80
  6. Step 6: Final answer
    x = 130,744.47

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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.