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Finding the Fourth Proportional to 100,031.64, 138,093.81 and 77,319.32

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Solution

The fourth proportional to 100,031.64, 138,093.81 and 77,319.32 is: 106,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.64 : 138,093.81 = 77,319.32 : x
  2. Step 2: Convert to fraction form
    100,031.64/138,093.81 = 77,319.32/x
  3. Step 3: Cross multiply
    100,031.64x = 138,093.81 × 77,319.32
  4. Step 4: Simplify right side
    100,031.64x = 10,677,318,794.94
  5. Step 5: Solve for x
    x = 10,677,318,794.94/100,031.64
  6. Step 6: Final answer
    x = 106,739.42

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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.