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Finding the Fourth Proportional to 86,980.44, 120,033.01 and 49,261.98

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Solution

The fourth proportional to 86,980.44, 120,033.01 and 49,261.98 is: 67,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.44 : 120,033.01 = 49,261.98 : x
  2. Step 2: Convert to fraction form
    86,980.44/120,033.01 = 49,261.98/x
  3. Step 3: Cross multiply
    86,980.44x = 120,033.01 × 49,261.98
  4. Step 4: Simplify right side
    86,980.44x = 5,913,063,491.65
  5. Step 5: Solve for x
    x = 5,913,063,491.65/86,980.44
  6. Step 6: Final answer
    x = 67,981.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.