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Finding the Fourth Proportional to 181,083.84, 249,891.03 and 100,509

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Solution

The fourth proportional to 181,083.84, 249,891.03 and 100,509 is: 138,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,083.84 : 249,891.03 = 100,509 : x
  2. Step 2: Convert to fraction form
    181,083.84/249,891.03 = 100,509/x
  3. Step 3: Cross multiply
    181,083.84x = 249,891.03 × 100,509
  4. Step 4: Simplify right side
    181,083.84x = 25,116,297,534.27
  5. Step 5: Solve for x
    x = 25,116,297,534.27/181,083.84
  6. Step 6: Final answer
    x = 138,699.83

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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.