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Finding the Fourth Proportional to 254,519.81, 381,780.82 and 86,041.02

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Solution

The fourth proportional to 254,519.81, 381,780.82 and 86,041.02 is: 129,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,519.81 : 381,780.82 = 86,041.02 : x
  2. Step 2: Convert to fraction form
    254,519.81/381,780.82 = 86,041.02/x
  3. Step 3: Cross multiply
    254,519.81x = 381,780.82 × 86,041.02
  4. Step 4: Simplify right side
    254,519.81x = 32,848,811,169.24
  5. Step 5: Solve for x
    x = 32,848,811,169.24/254,519.81
  6. Step 6: Final answer
    x = 129,061.91

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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.