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Finding the Fourth Proportional to 55,364.50, 76,403.01 and 30,214

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Solution

The fourth proportional to 55,364.50, 76,403.01 and 30,214 is: 41,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,364.50 : 76,403.01 = 30,214 : x
  2. Step 2: Convert to fraction form
    55,364.50/76,403.01 = 30,214/x
  3. Step 3: Cross multiply
    55,364.50x = 76,403.01 × 30,214
  4. Step 4: Simplify right side
    55,364.50x = 2,308,440,544.14
  5. Step 5: Solve for x
    x = 2,308,440,544.14/55,364.50
  6. Step 6: Final answer
    x = 41,695.32

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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.