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Finding the Fourth Proportional to 270,186.32, 405,060.74 and 112,532.78

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Solution

The fourth proportional to 270,186.32, 405,060.74 and 112,532.78 is: 168,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,186.32 : 405,060.74 = 112,532.78 : x
  2. Step 2: Convert to fraction form
    270,186.32/405,060.74 = 112,532.78/x
  3. Step 3: Cross multiply
    270,186.32x = 405,060.74 × 112,532.78
  4. Step 4: Simplify right side
    270,186.32x = 45,582,611,141.06
  5. Step 5: Solve for x
    x = 45,582,611,141.06/270,186.32
  6. Step 6: Final answer
    x = 168,708.06

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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.