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Finding the Fourth Proportional to 254,504.63, 381,693.86 and 86,021.21

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Solution

The fourth proportional to 254,504.63, 381,693.86 and 86,021.21 is: 129,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,504.63 : 381,693.86 = 86,021.21 : x
  2. Step 2: Convert to fraction form
    254,504.63/381,693.86 = 86,021.21/x
  3. Step 3: Cross multiply
    254,504.63x = 381,693.86 × 86,021.21
  4. Step 4: Simplify right side
    254,504.63x = 32,833,767,686.77
  5. Step 5: Solve for x
    x = 32,833,767,686.77/254,504.63
  6. Step 6: Final answer
    x = 129,010.49

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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.