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Finding the Fourth Proportional to 86,736.30, 130,104.45 and 53,348.10

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Solution

The fourth proportional to 86,736.30, 130,104.45 and 53,348.10 is: 80,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,736.30 : 130,104.45 = 53,348.10 : x
  2. Step 2: Convert to fraction form
    86,736.30/130,104.45 = 53,348.10/x
  3. Step 3: Cross multiply
    86,736.30x = 130,104.45 × 53,348.10
  4. Step 4: Simplify right side
    86,736.30x = 6,940,825,209.05
  5. Step 5: Solve for x
    x = 6,940,825,209.05/86,736.30
  6. Step 6: Final answer
    x = 80,022.15

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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.