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Finding the Fourth Proportional to 86,644.37, 130,007.87 and 47,200.61

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Solution

The fourth proportional to 86,644.37, 130,007.87 and 47,200.61 is: 70,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644.37 : 130,007.87 = 47,200.61 : x
  2. Step 2: Convert to fraction form
    86,644.37/130,007.87 = 47,200.61/x
  3. Step 3: Cross multiply
    86,644.37x = 130,007.87 × 47,200.61
  4. Step 4: Simplify right side
    86,644.37x = 6,136,449,882.76
  5. Step 5: Solve for x
    x = 6,136,449,882.76/86,644.37
  6. Step 6: Final answer
    x = 70,823.42

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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.