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Finding the Fourth Proportional to 138,893.20, 191,671.68 and 78,483.40

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Solution

The fourth proportional to 138,893.20, 191,671.68 and 78,483.40 is: 108,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.20 : 191,671.68 = 78,483.40 : x
  2. Step 2: Convert to fraction form
    138,893.20/191,671.68 = 78,483.40/x
  3. Step 3: Cross multiply
    138,893.20x = 191,671.68 × 78,483.40
  4. Step 4: Simplify right side
    138,893.20x = 15,043,045,130.11
  5. Step 5: Solve for x
    x = 15,043,045,130.11/138,893.20
  6. Step 6: Final answer
    x = 108,306.56

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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.