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Finding the Fourth Proportional to 180,770.78, 249,436.98 and 100,197.96

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Solution

The fourth proportional to 180,770.78, 249,436.98 and 100,197.96 is: 138,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,770.78 : 249,436.98 = 100,197.96 : x
  2. Step 2: Convert to fraction form
    180,770.78/249,436.98 = 100,197.96/x
  3. Step 3: Cross multiply
    180,770.78x = 249,436.98 × 100,197.96
  4. Step 4: Simplify right side
    180,770.78x = 24,993,076,544.56
  5. Step 5: Solve for x
    x = 24,993,076,544.56/180,770.78
  6. Step 6: Final answer
    x = 138,258.39

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1.5x scale

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.