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Finding the Fourth Proportional to 137,673.78, 189,986.82 and 77,243.34

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Solution

The fourth proportional to 137,673.78, 189,986.82 and 77,243.34 is: 106,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,673.78 : 189,986.82 = 77,243.34 : x
  2. Step 2: Convert to fraction form
    137,673.78/189,986.82 = 77,243.34/x
  3. Step 3: Cross multiply
    137,673.78x = 189,986.82 × 77,243.34
  4. Step 4: Simplify right side
    137,673.78x = 14,675,216,532.78
  5. Step 5: Solve for x
    x = 14,675,216,532.78/137,673.78
  6. Step 6: Final answer
    x = 106,594.13

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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.