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Finding the Fourth Proportional to 104,608.45, 144,357.96 and 56,863

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Solution

The fourth proportional to 104,608.45, 144,357.96 and 56,863 is: 78,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,608.45 : 144,357.96 = 56,863 : x
  2. Step 2: Convert to fraction form
    104,608.45/144,357.96 = 56,863/x
  3. Step 3: Cross multiply
    104,608.45x = 144,357.96 × 56,863
  4. Step 4: Simplify right side
    104,608.45x = 8,208,626,679.48
  5. Step 5: Solve for x
    x = 8,208,626,679.48/104,608.45
  6. Step 6: Final answer
    x = 78,470.02

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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.