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Finding the Fourth Proportional to 77,090.32, 106,384.80 and 43,556.32

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Solution

The fourth proportional to 77,090.32, 106,384.80 and 43,556.32 is: 60,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,090.32 : 106,384.80 = 43,556.32 : x
  2. Step 2: Convert to fraction form
    77,090.32/106,384.80 = 43,556.32/x
  3. Step 3: Cross multiply
    77,090.32x = 106,384.80 × 43,556.32
  4. Step 4: Simplify right side
    77,090.32x = 4,633,730,391.94
  5. Step 5: Solve for x
    x = 4,633,730,391.94/77,090.32
  6. Step 6: Final answer
    x = 60,107.81

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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.