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Finding the Fourth Proportional to 104,820, 144,649.44 and 57,074.24

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Solution

The fourth proportional to 104,820, 144,649.44 and 57,074.24 is: 78,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,820 : 144,649.44 = 57,074.24 : x
  2. Step 2: Convert to fraction form
    104,820/144,649.44 = 57,074.24/x
  3. Step 3: Cross multiply
    104,820x = 144,649.44 × 57,074.24
  4. Step 4: Simplify right side
    104,820x = 8,255,756,854.43
  5. Step 5: Solve for x
    x = 8,255,756,854.43/104,820
  6. Step 6: Final answer
    x = 78,761.28

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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.