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Finding the Fourth Proportional to 136,993.50, 189,058.23 and 83,269.80

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Solution

The fourth proportional to 136,993.50, 189,058.23 and 83,269.80 is: 114,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,993.50 : 189,058.23 = 83,269.80 : x
  2. Step 2: Convert to fraction form
    136,993.50/189,058.23 = 83,269.80/x
  3. Step 3: Cross multiply
    136,993.50x = 189,058.23 × 83,269.80
  4. Step 4: Simplify right side
    136,993.50x = 15,742,841,000.45
  5. Step 5: Solve for x
    x = 15,742,841,000.45/136,993.50
  6. Step 6: Final answer
    x = 114,916.70

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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.