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Finding the Fourth Proportional to 254,559.71, 381,858.71 and 77,081.02

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Solution

The fourth proportional to 254,559.71, 381,858.71 and 77,081.02 is: 115,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,559.71 : 381,858.71 = 77,081.02 : x
  2. Step 2: Convert to fraction form
    254,559.71/381,858.71 = 77,081.02/x
  3. Step 3: Cross multiply
    254,559.71x = 381,858.71 × 77,081.02
  4. Step 4: Simplify right side
    254,559.71x = 29,434,057,522.63
  5. Step 5: Solve for x
    x = 29,434,057,522.63/254,559.71
  6. Step 6: Final answer
    x = 115,627.32

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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.