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Finding the Fourth Proportional to 180,517.78, 249,118.40 and 98,849.50

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Solution

The fourth proportional to 180,517.78, 249,118.40 and 98,849.50 is: 136,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,517.78 : 249,118.40 = 98,849.50 : x
  2. Step 2: Convert to fraction form
    180,517.78/249,118.40 = 98,849.50/x
  3. Step 3: Cross multiply
    180,517.78x = 249,118.40 × 98,849.50
  4. Step 4: Simplify right side
    180,517.78x = 24,625,229,539.07
  5. Step 5: Solve for x
    x = 24,625,229,539.07/180,517.78
  6. Step 6: Final answer
    x = 136,414.43

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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.