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Finding the Fourth Proportional to 254,051.97, 380,745.73 and 104,116.71

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Solution

The fourth proportional to 254,051.97, 380,745.73 and 104,116.71 is: 156,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.97 : 380,745.73 = 104,116.71 : x
  2. Step 2: Convert to fraction form
    254,051.97/380,745.73 = 104,116.71/x
  3. Step 3: Cross multiply
    254,051.97x = 380,745.73 × 104,116.71
  4. Step 4: Simplify right side
    254,051.97x = 39,641,994,312.09
  5. Step 5: Solve for x
    x = 39,641,994,312.09/254,051.97
  6. Step 6: Final answer
    x = 156,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.