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Finding the Fourth Proportional to 189,992.94, 262,182.30 and 103,951.50

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Solution

The fourth proportional to 189,992.94, 262,182.30 and 103,951.50 is: 143,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,992.94 : 262,182.30 = 103,951.50 : x
  2. Step 2: Convert to fraction form
    189,992.94/262,182.30 = 103,951.50/x
  3. Step 3: Cross multiply
    189,992.94x = 262,182.30 × 103,951.50
  4. Step 4: Simplify right side
    189,992.94x = 27,254,243,358.45
  5. Step 5: Solve for x
    x = 27,254,243,358.45/189,992.94
  6. Step 6: Final answer
    x = 143,448.72

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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.