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Finding the Fourth Proportional to 210,093.72, 314,992.92 and 76,956.68

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Solution

The fourth proportional to 210,093.72, 314,992.92 and 76,956.68 is: 115,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,093.72 : 314,992.92 = 76,956.68 : x
  2. Step 2: Convert to fraction form
    210,093.72/314,992.92 = 76,956.68/x
  3. Step 3: Cross multiply
    210,093.72x = 314,992.92 × 76,956.68
  4. Step 4: Simplify right side
    210,093.72x = 24,240,809,346.71
  5. Step 5: Solve for x
    x = 24,240,809,346.71/210,093.72
  6. Step 6: Final answer
    x = 115,380.93

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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.