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Finding the Fourth Proportional to 253,827, 380,678.13 and 111,707.91

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Solution

The fourth proportional to 253,827, 380,678.13 and 111,707.91 is: 167,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,827 : 380,678.13 = 111,707.91 : x
  2. Step 2: Convert to fraction form
    253,827/380,678.13 = 111,707.91/x
  3. Step 3: Cross multiply
    253,827x = 380,678.13 × 111,707.91
  4. Step 4: Simplify right side
    253,827x = 42,524,758,285.01
  5. Step 5: Solve for x
    x = 42,524,758,285.01/253,827
  6. Step 6: Final answer
    x = 167,534.42

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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.