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Finding the Fourth Proportional to 77,080.85, 106,372 and 43,090.77

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Solution

The fourth proportional to 77,080.85, 106,372 and 43,090.77 is: 59,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.85 : 106,372 = 43,090.77 : x
  2. Step 2: Convert to fraction form
    77,080.85/106,372 = 43,090.77/x
  3. Step 3: Cross multiply
    77,080.85x = 106,372 × 43,090.77
  4. Step 4: Simplify right side
    77,080.85x = 4,583,651,386.44
  5. Step 5: Solve for x
    x = 4,583,651,386.44/77,080.85
  6. Step 6: Final answer
    x = 59,465.50

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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.