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Finding the Fourth Proportional to 213,697.96, 320,447.67 and 78,727.84

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Solution

The fourth proportional to 213,697.96, 320,447.67 and 78,727.84 is: 118,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,697.96 : 320,447.67 = 78,727.84 : x
  2. Step 2: Convert to fraction form
    213,697.96/320,447.67 = 78,727.84/x
  3. Step 3: Cross multiply
    213,697.96x = 320,447.67 × 78,727.84
  4. Step 4: Simplify right side
    213,697.96x = 25,228,152,892.13
  5. Step 5: Solve for x
    x = 25,228,152,892.13/213,697.96
  6. Step 6: Final answer
    x = 118,055.19

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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.