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Finding the Fourth Proportional to 137,358.83, 189,559.37 and 76,929.32

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Solution

The fourth proportional to 137,358.83, 189,559.37 and 76,929.32 is: 106,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,358.83 : 189,559.37 = 76,929.32 : x
  2. Step 2: Convert to fraction form
    137,358.83/189,559.37 = 76,929.32/x
  3. Step 3: Cross multiply
    137,358.83x = 189,559.37 × 76,929.32
  4. Step 4: Simplify right side
    137,358.83x = 14,582,673,433.73
  5. Step 5: Solve for x
    x = 14,582,673,433.73/137,358.83
  6. Step 6: Final answer
    x = 106,164.81

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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.