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Finding the Fourth Proportional to 78,439.66, 108,247.44 and 42,629.76

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Solution

The fourth proportional to 78,439.66, 108,247.44 and 42,629.76 is: 58,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,439.66 : 108,247.44 = 42,629.76 : x
  2. Step 2: Convert to fraction form
    78,439.66/108,247.44 = 42,629.76/x
  3. Step 3: Cross multiply
    78,439.66x = 108,247.44 × 42,629.76
  4. Step 4: Simplify right side
    78,439.66x = 4,614,562,120.98
  5. Step 5: Solve for x
    x = 4,614,562,120.98/78,439.66
  6. Step 6: Final answer
    x = 58,829.45

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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.