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Finding the Fourth Proportional to 105,980.49, 146,216.90 and 65,679.55

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Solution

The fourth proportional to 105,980.49, 146,216.90 and 65,679.55 is: 90,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980.49 : 146,216.90 = 65,679.55 : x
  2. Step 2: Convert to fraction form
    105,980.49/146,216.90 = 65,679.55/x
  3. Step 3: Cross multiply
    105,980.49x = 146,216.90 × 65,679.55
  4. Step 4: Simplify right side
    105,980.49x = 9,603,459,993.05
  5. Step 5: Solve for x
    x = 9,603,459,993.05/105,980.49
  6. Step 6: Final answer
    x = 90,615.36

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1.5x scale

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.