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Finding the Fourth Proportional to 136,967.81, 205,082.54 and 89,465.27

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Solution

The fourth proportional to 136,967.81, 205,082.54 and 89,465.27 is: 133,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,967.81 : 205,082.54 = 89,465.27 : x
  2. Step 2: Convert to fraction form
    136,967.81/205,082.54 = 89,465.27/x
  3. Step 3: Cross multiply
    136,967.81x = 205,082.54 × 89,465.27
  4. Step 4: Simplify right side
    136,967.81x = 18,347,764,366.06
  5. Step 5: Solve for x
    x = 18,347,764,366.06/136,967.81
  6. Step 6: Final answer
    x = 133,956.76

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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.