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Finding the Fourth Proportional to 75,980.76, 114,004.52 and 40,433.68

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Solution

The fourth proportional to 75,980.76, 114,004.52 and 40,433.68 is: 60,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.76 : 114,004.52 = 40,433.68 : x
  2. Step 2: Convert to fraction form
    75,980.76/114,004.52 = 40,433.68/x
  3. Step 3: Cross multiply
    75,980.76x = 114,004.52 × 40,433.68
  4. Step 4: Simplify right side
    75,980.76x = 4,609,622,280.23
  5. Step 5: Solve for x
    x = 4,609,622,280.23/75,980.76
  6. Step 6: Final answer
    x = 60,668.28

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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.