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Finding the Fourth Proportional to 86,788.36, 130,014.42 and 49,234.84

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Solution

The fourth proportional to 86,788.36, 130,014.42 and 49,234.84 is: 73,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,788.36 : 130,014.42 = 49,234.84 : x
  2. Step 2: Convert to fraction form
    86,788.36/130,014.42 = 49,234.84/x
  3. Step 3: Cross multiply
    86,788.36x = 130,014.42 × 49,234.84
  4. Step 4: Simplify right side
    86,788.36x = 6,401,238,656.73
  5. Step 5: Solve for x
    x = 6,401,238,656.73/86,788.36
  6. Step 6: Final answer
    x = 73,756.88

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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.