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Finding the Fourth Proportional to 137,266.50, 189,329.96 and 83,554.94

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Solution

The fourth proportional to 137,266.50, 189,329.96 and 83,554.94 is: 115,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,266.50 : 189,329.96 = 83,554.94 : x
  2. Step 2: Convert to fraction form
    137,266.50/189,329.96 = 83,554.94/x
  3. Step 3: Cross multiply
    137,266.50x = 189,329.96 × 83,554.94
  4. Step 4: Simplify right side
    137,266.50x = 15,819,453,660.22
  5. Step 5: Solve for x
    x = 15,819,453,660.22/137,266.50
  6. Step 6: Final answer
    x = 115,246.28

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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.