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Finding the Fourth Proportional to 181,283.86, 250,160.16 and 100,709.92

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Solution

The fourth proportional to 181,283.86, 250,160.16 and 100,709.92 is: 138,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,283.86 : 250,160.16 = 100,709.92 : x
  2. Step 2: Convert to fraction form
    181,283.86/250,160.16 = 100,709.92/x
  3. Step 3: Cross multiply
    181,283.86x = 250,160.16 × 100,709.92
  4. Step 4: Simplify right side
    181,283.86x = 25,193,609,700.79
  5. Step 5: Solve for x
    x = 25,193,609,700.79/181,283.86
  6. Step 6: Final answer
    x = 138,973.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.