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Finding the Fourth Proportional to 180,893.78, 249,616.92 and 100,321.05

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Solution

The fourth proportional to 180,893.78, 249,616.92 and 100,321.05 is: 138,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,893.78 : 249,616.92 = 100,321.05 : x
  2. Step 2: Convert to fraction form
    180,893.78/249,616.92 = 100,321.05/x
  3. Step 3: Cross multiply
    180,893.78x = 249,616.92 × 100,321.05
  4. Step 4: Simplify right side
    180,893.78x = 25,041,831,512.17
  5. Step 5: Solve for x
    x = 25,041,831,512.17/180,893.78
  6. Step 6: Final answer
    x = 138,433.90

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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.