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Finding the Fourth Proportional to 77,163.70, 106,485.33 and 43,630.90

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Solution

The fourth proportional to 77,163.70, 106,485.33 and 43,630.90 is: 60,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.70 : 106,485.33 = 43,630.90 : x
  2. Step 2: Convert to fraction form
    77,163.70/106,485.33 = 43,630.90/x
  3. Step 3: Cross multiply
    77,163.70x = 106,485.33 × 43,630.90
  4. Step 4: Simplify right side
    77,163.70x = 4,646,050,784.70
  5. Step 5: Solve for x
    x = 4,646,050,784.70/77,163.70
  6. Step 6: Final answer
    x = 60,210.32

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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.