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Finding the Fourth Proportional to 86,821.52, 130,232.44 and 31,404.56

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Solution

The fourth proportional to 86,821.52, 130,232.44 and 31,404.56 is: 47,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.52 : 130,232.44 = 31,404.56 : x
  2. Step 2: Convert to fraction form
    86,821.52/130,232.44 = 31,404.56/x
  3. Step 3: Cross multiply
    86,821.52x = 130,232.44 × 31,404.56
  4. Step 4: Simplify right side
    86,821.52x = 4,089,892,475.93
  5. Step 5: Solve for x
    x = 4,089,892,475.93/86,821.52
  6. Step 6: Final answer
    x = 47,106.90

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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.