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Finding the Fourth Proportional to 181,056.57, 249,860.80 and 100,489.31

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Solution

The fourth proportional to 181,056.57, 249,860.80 and 100,489.31 is: 138,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,056.57 : 249,860.80 = 100,489.31 : x
  2. Step 2: Convert to fraction form
    181,056.57/249,860.80 = 100,489.31/x
  3. Step 3: Cross multiply
    181,056.57x = 249,860.80 × 100,489.31
  4. Step 4: Simplify right side
    181,056.57x = 25,108,339,201.33
  5. Step 5: Solve for x
    x = 25,108,339,201.33/181,056.57
  6. Step 6: Final answer
    x = 138,676.77

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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.