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Finding the Fourth Proportional to 137,313, 189,494.82 and 77,697

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Solution

The fourth proportional to 137,313, 189,494.82 and 77,697 is: 107,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,313 : 189,494.82 = 77,697 : x
  2. Step 2: Convert to fraction form
    137,313/189,494.82 = 77,697/x
  3. Step 3: Cross multiply
    137,313x = 189,494.82 × 77,697
  4. Step 4: Simplify right side
    137,313x = 14,723,179,029.54
  5. Step 5: Solve for x
    x = 14,723,179,029.54/137,313
  6. Step 6: Final answer
    x = 107,223.49

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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.