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Finding the Fourth Proportional to 86,978.94, 130,416.03 and 47,481.18

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Solution

The fourth proportional to 86,978.94, 130,416.03 and 47,481.18 is: 71,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.94 : 130,416.03 = 47,481.18 : x
  2. Step 2: Convert to fraction form
    86,978.94/130,416.03 = 47,481.18/x
  3. Step 3: Cross multiply
    86,978.94x = 130,416.03 × 47,481.18
  4. Step 4: Simplify right side
    86,978.94x = 6,192,306,995.32
  5. Step 5: Solve for x
    x = 6,192,306,995.32/86,978.94
  6. Step 6: Final answer
    x = 71,193.18

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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.