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Finding the Fourth Proportional to 81,274.32, 121,913.64 and 28,671.84

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Solution

The fourth proportional to 81,274.32, 121,913.64 and 28,671.84 is: 43,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,274.32 : 121,913.64 = 28,671.84 : x
  2. Step 2: Convert to fraction form
    81,274.32/121,913.64 = 28,671.84/x
  3. Step 3: Cross multiply
    81,274.32x = 121,913.64 × 28,671.84
  4. Step 4: Simplify right side
    81,274.32x = 3,495,488,379.90
  5. Step 5: Solve for x
    x = 3,495,488,379.90/81,274.32
  6. Step 6: Final answer
    x = 43,008.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.