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Finding the Fourth Proportional to 144,076.96, 198,829.20 and 80,417.44

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Solution

The fourth proportional to 144,076.96, 198,829.20 and 80,417.44 is: 110,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.96 : 198,829.20 = 80,417.44 : x
  2. Step 2: Convert to fraction form
    144,076.96/198,829.20 = 80,417.44/x
  3. Step 3: Cross multiply
    144,076.96x = 198,829.20 × 80,417.44
  4. Step 4: Simplify right side
    144,076.96x = 15,989,335,261.25
  5. Step 5: Solve for x
    x = 15,989,335,261.25/144,076.96
  6. Step 6: Final answer
    x = 110,977.74

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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.