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Finding the Fourth Proportional to 86,980.94, 120,033.70 and 49,262.48

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Solution

The fourth proportional to 86,980.94, 120,033.70 and 49,262.48 is: 67,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.94 : 120,033.70 = 49,262.48 : x
  2. Step 2: Convert to fraction form
    86,980.94/120,033.70 = 49,262.48/x
  3. Step 3: Cross multiply
    86,980.94x = 120,033.70 × 49,262.48
  4. Step 4: Simplify right side
    86,980.94x = 5,913,157,499.26
  5. Step 5: Solve for x
    x = 5,913,157,499.26/86,980.94
  6. Step 6: Final answer
    x = 67,982.22

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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.