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Finding the Fourth Proportional to 181,002.77, 249,780 and 100,428.56

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Solution

The fourth proportional to 181,002.77, 249,780 and 100,428.56 is: 138,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,002.77 : 249,780 = 100,428.56 : x
  2. Step 2: Convert to fraction form
    181,002.77/249,780 = 100,428.56/x
  3. Step 3: Cross multiply
    181,002.77x = 249,780 × 100,428.56
  4. Step 4: Simplify right side
    181,002.77x = 25,085,044,467.90
  5. Step 5: Solve for x
    x = 25,085,044,467.90/181,002.77
  6. Step 6: Final answer
    x = 138,589.29

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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.