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Finding the Fourth Proportional to 254,698.47, 381,784.86 and 86,163.39

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Solution

The fourth proportional to 254,698.47, 381,784.86 and 86,163.39 is: 129,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,698.47 : 381,784.86 = 86,163.39 : x
  2. Step 2: Convert to fraction form
    254,698.47/381,784.86 = 86,163.39/x
  3. Step 3: Cross multiply
    254,698.47x = 381,784.86 × 86,163.39
  4. Step 4: Simplify right side
    254,698.47x = 32,895,877,788.28
  5. Step 5: Solve for x
    x = 32,895,877,788.28/254,698.47
  6. Step 6: Final answer
    x = 129,156.17

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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.