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Finding the Fourth Proportional to 181,032.71, 249,825.81 and 100,471.83

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Solution

The fourth proportional to 181,032.71, 249,825.81 and 100,471.83 is: 138,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,032.71 : 249,825.81 = 100,471.83 : x
  2. Step 2: Convert to fraction form
    181,032.71/249,825.81 = 100,471.83/x
  3. Step 3: Cross multiply
    181,032.71x = 249,825.81 × 100,471.83
  4. Step 4: Simplify right side
    181,032.71x = 25,100,456,311.93
  5. Step 5: Solve for x
    x = 25,100,456,311.93/181,032.71
  6. Step 6: Final answer
    x = 138,651.50

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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.