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Finding the Fourth Proportional to 77,243.88, 115,866.51 and 30,496.75

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Solution

The fourth proportional to 77,243.88, 115,866.51 and 30,496.75 is: 45,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243.88 : 115,866.51 = 30,496.75 : x
  2. Step 2: Convert to fraction form
    77,243.88/115,866.51 = 30,496.75/x
  3. Step 3: Cross multiply
    77,243.88x = 115,866.51 × 30,496.75
  4. Step 4: Simplify right side
    77,243.88x = 3,533,551,988.84
  5. Step 5: Solve for x
    x = 3,533,551,988.84/77,243.88
  6. Step 6: Final answer
    x = 45,745.40

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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.