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Finding the Fourth Proportional to 181,045.71, 249,858 and 100,471.77

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Solution

The fourth proportional to 181,045.71, 249,858 and 100,471.77 is: 138,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,045.71 : 249,858 = 100,471.77 : x
  2. Step 2: Convert to fraction form
    181,045.71/249,858 = 100,471.77/x
  3. Step 3: Cross multiply
    181,045.71x = 249,858 × 100,471.77
  4. Step 4: Simplify right side
    181,045.71x = 25,103,675,508.66
  5. Step 5: Solve for x
    x = 25,103,675,508.66/181,045.71
  6. Step 6: Final answer
    x = 138,659.32

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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.