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Finding the Fourth Proportional to 136,989.51, 189,103.71 and 83,291.67

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Solution

The fourth proportional to 136,989.51, 189,103.71 and 83,291.67 is: 114,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,989.51 : 189,103.71 = 83,291.67 : x
  2. Step 2: Convert to fraction form
    136,989.51/189,103.71 = 83,291.67/x
  3. Step 3: Cross multiply
    136,989.51x = 189,103.71 × 83,291.67
  4. Step 4: Simplify right side
    136,989.51x = 15,750,763,809.10
  5. Step 5: Solve for x
    x = 15,750,763,809.10/136,989.51
  6. Step 6: Final answer
    x = 114,977.88

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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.