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Finding the Fourth Proportional to 261,391.96, 392,128.97 and 111,633.02

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Solution

The fourth proportional to 261,391.96, 392,128.97 and 111,633.02 is: 167,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,391.96 : 392,128.97 = 111,633.02 : x
  2. Step 2: Convert to fraction form
    261,391.96/392,128.97 = 111,633.02/x
  3. Step 3: Cross multiply
    261,391.96x = 392,128.97 × 111,633.02
  4. Step 4: Simplify right side
    261,391.96x = 43,774,538,631.78
  5. Step 5: Solve for x
    x = 43,774,538,631.78/261,391.96
  6. Step 6: Final answer
    x = 167,467.04

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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.