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Finding the Fourth Proportional to 82,980.18, 114,391.85 and 65,991.24

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Solution

The fourth proportional to 82,980.18, 114,391.85 and 65,991.24 is: 90,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.18 : 114,391.85 = 65,991.24 : x
  2. Step 2: Convert to fraction form
    82,980.18/114,391.85 = 65,991.24/x
  3. Step 3: Cross multiply
    82,980.18x = 114,391.85 × 65,991.24
  4. Step 4: Simplify right side
    82,980.18x = 7,548,859,697.44
  5. Step 5: Solve for x
    x = 7,548,859,697.44/82,980.18
  6. Step 6: Final answer
    x = 90,971.84

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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.