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Finding the Fourth Proportional to 86,803.62, 130,205.43 and 27,657.42

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Solution

The fourth proportional to 86,803.62, 130,205.43 and 27,657.42 is: 41,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,803.62 : 130,205.43 = 27,657.42 : x
  2. Step 2: Convert to fraction form
    86,803.62/130,205.43 = 27,657.42/x
  3. Step 3: Cross multiply
    86,803.62x = 130,205.43 × 27,657.42
  4. Step 4: Simplify right side
    86,803.62x = 3,601,146,263.79
  5. Step 5: Solve for x
    x = 3,601,146,263.79/86,803.62
  6. Step 6: Final answer
    x = 41,486.13

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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.