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Finding the Fourth Proportional to 181,150, 249,994.81 and 100,577.54

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Solution

The fourth proportional to 181,150, 249,994.81 and 100,577.54 is: 138,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,150 : 249,994.81 = 100,577.54 : x
  2. Step 2: Convert to fraction form
    181,150/249,994.81 = 100,577.54/x
  3. Step 3: Cross multiply
    181,150x = 249,994.81 × 100,577.54
  4. Step 4: Simplify right side
    181,150x = 25,143,861,501.15
  5. Step 5: Solve for x
    x = 25,143,861,501.15/181,150
  6. Step 6: Final answer
    x = 138,801.33

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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.