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Finding the Fourth Proportional to 180,874.99, 249,608.13 and 100,309.96

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Solution

The fourth proportional to 180,874.99, 249,608.13 and 100,309.96 is: 138,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.99 : 249,608.13 = 100,309.96 : x
  2. Step 2: Convert to fraction form
    180,874.99/249,608.13 = 100,309.96/x
  3. Step 3: Cross multiply
    180,874.99x = 249,608.13 × 100,309.96
  4. Step 4: Simplify right side
    180,874.99x = 25,038,181,535.97
  5. Step 5: Solve for x
    x = 25,038,181,535.97/180,874.99
  6. Step 6: Final answer
    x = 138,428.10

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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.