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Finding the Fourth Proportional to 76,655.80, 114,989.10 and 43,391.80

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Solution

The fourth proportional to 76,655.80, 114,989.10 and 43,391.80 is: 65,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655.80 : 114,989.10 = 43,391.80 : x
  2. Step 2: Convert to fraction form
    76,655.80/114,989.10 = 43,391.80/x
  3. Step 3: Cross multiply
    76,655.80x = 114,989.10 × 43,391.80
  4. Step 4: Simplify right side
    76,655.80x = 4,989,584,029.38
  5. Step 5: Solve for x
    x = 4,989,584,029.38/76,655.80
  6. Step 6: Final answer
    x = 65,090.76

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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.