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Finding the Fourth Proportional to 76,418.13, 114,520.40 and 65,114.42

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Solution

The fourth proportional to 76,418.13, 114,520.40 and 65,114.42 is: 97,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.13 : 114,520.40 = 65,114.42 : x
  2. Step 2: Convert to fraction form
    76,418.13/114,520.40 = 65,114.42/x
  3. Step 3: Cross multiply
    76,418.13x = 114,520.40 × 65,114.42
  4. Step 4: Simplify right side
    76,418.13x = 7,456,928,525.99
  5. Step 5: Solve for x
    x = 7,456,928,525.99/76,418.13
  6. Step 6: Final answer
    x = 97,580.62

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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.