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Finding the Fourth Proportional to 86,921.80, 130,188.30 and 75,257.80

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Solution

The fourth proportional to 86,921.80, 130,188.30 and 75,257.80 is: 112,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921.80 : 130,188.30 = 75,257.80 : x
  2. Step 2: Convert to fraction form
    86,921.80/130,188.30 = 75,257.80/x
  3. Step 3: Cross multiply
    86,921.80x = 130,188.30 × 75,257.80
  4. Step 4: Simplify right side
    86,921.80x = 9,797,685,043.74
  5. Step 5: Solve for x
    x = 9,797,685,043.74/86,921.80
  6. Step 6: Final answer
    x = 112,718.39

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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.