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Finding the Fourth Proportional to 111,387.02, 167,080.78 and 78,254.99

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Solution

The fourth proportional to 111,387.02, 167,080.78 and 78,254.99 is: 117,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,387.02 : 167,080.78 = 78,254.99 : x
  2. Step 2: Convert to fraction form
    111,387.02/167,080.78 = 78,254.99/x
  3. Step 3: Cross multiply
    111,387.02x = 167,080.78 × 78,254.99
  4. Step 4: Simplify right side
    111,387.02x = 13,074,904,768.09
  5. Step 5: Solve for x
    x = 13,074,904,768.09/111,387.02
  6. Step 6: Final answer
    x = 117,382.67

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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.