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Finding the Fourth Proportional to 104,551.36, 144,280.64 and 56,804.90

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Solution

The fourth proportional to 104,551.36, 144,280.64 and 56,804.90 is: 78,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,551.36 : 144,280.64 = 56,804.90 : x
  2. Step 2: Convert to fraction form
    104,551.36/144,280.64 = 56,804.90/x
  3. Step 3: Cross multiply
    104,551.36x = 144,280.64 × 56,804.90
  4. Step 4: Simplify right side
    104,551.36x = 8,195,846,747.75
  5. Step 5: Solve for x
    x = 8,195,846,747.75/104,551.36
  6. Step 6: Final answer
    x = 78,390.63

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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.