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Finding the Fourth Proportional to 105,570.80, 158,125.80 and 82,012.40

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Solution

The fourth proportional to 105,570.80, 158,125.80 and 82,012.40 is: 122,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570.80 : 158,125.80 = 82,012.40 : x
  2. Step 2: Convert to fraction form
    105,570.80/158,125.80 = 82,012.40/x
  3. Step 3: Cross multiply
    105,570.80x = 158,125.80 × 82,012.40
  4. Step 4: Simplify right side
    105,570.80x = 12,968,276,359.92
  5. Step 5: Solve for x
    x = 12,968,276,359.92/105,570.80
  6. Step 6: Final answer
    x = 122,839.61

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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.