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Finding the Fourth Proportional to 137,338.21, 205,975.05 and 77,392.81

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Solution

The fourth proportional to 137,338.21, 205,975.05 and 77,392.81 is: 116,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,338.21 : 205,975.05 = 77,392.81 : x
  2. Step 2: Convert to fraction form
    137,338.21/205,975.05 = 77,392.81/x
  3. Step 3: Cross multiply
    137,338.21x = 205,975.05 × 77,392.81
  4. Step 4: Simplify right side
    137,338.21x = 15,940,987,909.39
  5. Step 5: Solve for x
    x = 15,940,987,909.39/137,338.21
  6. Step 6: Final answer
    x = 116,071.03

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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.