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Finding the Fourth Proportional to 77,216.06, 115,825.23 and 30,468.50

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Solution

The fourth proportional to 77,216.06, 115,825.23 and 30,468.50 is: 45,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,216.06 : 115,825.23 = 30,468.50 : x
  2. Step 2: Convert to fraction form
    77,216.06/115,825.23 = 30,468.50/x
  3. Step 3: Cross multiply
    77,216.06x = 115,825.23 × 30,468.50
  4. Step 4: Simplify right side
    77,216.06x = 3,529,021,020.26
  5. Step 5: Solve for x
    x = 3,529,021,020.26/77,216.06
  6. Step 6: Final answer
    x = 45,703.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.