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Finding the Fourth Proportional to 181,004.81, 249,800.31 and 100,447.56

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Solution

The fourth proportional to 181,004.81, 249,800.31 and 100,447.56 is: 138,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,004.81 : 249,800.31 = 100,447.56 : x
  2. Step 2: Convert to fraction form
    181,004.81/249,800.31 = 100,447.56/x
  3. Step 3: Cross multiply
    181,004.81x = 249,800.31 × 100,447.56
  4. Step 4: Simplify right side
    181,004.81x = 25,091,831,626.74
  5. Step 5: Solve for x
    x = 25,091,831,626.74/181,004.81
  6. Step 6: Final answer
    x = 138,625.22

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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.