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Finding the Fourth Proportional to 180,907.80, 249,668.09 and 100,361.27

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Solution

The fourth proportional to 180,907.80, 249,668.09 and 100,361.27 is: 138,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,907.80 : 249,668.09 = 100,361.27 : x
  2. Step 2: Convert to fraction form
    180,907.80/249,668.09 = 100,361.27/x
  3. Step 3: Cross multiply
    180,907.80x = 249,668.09 × 100,361.27
  4. Step 4: Simplify right side
    180,907.80x = 25,057,006,590.87
  5. Step 5: Solve for x
    x = 25,057,006,590.87/180,907.80
  6. Step 6: Final answer
    x = 138,507.05

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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.