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Finding the Fourth Proportional to 86,803.86, 130,206.87 and 27,639.30

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Solution

The fourth proportional to 86,803.86, 130,206.87 and 27,639.30 is: 41,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,803.86 : 130,206.87 = 27,639.30 : x
  2. Step 2: Convert to fraction form
    86,803.86/130,206.87 = 27,639.30/x
  3. Step 3: Cross multiply
    86,803.86x = 130,206.87 × 27,639.30
  4. Step 4: Simplify right side
    86,803.86x = 3,598,826,741.99
  5. Step 5: Solve for x
    x = 3,598,826,741.99/86,803.86
  6. Step 6: Final answer
    x = 41,459.29

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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.