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Finding the Fourth Proportional to 120,273, 165,979.46 and 77,905.28

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Solution

The fourth proportional to 120,273, 165,979.46 and 77,905.28 is: 107,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273 : 165,979.46 = 77,905.28 : x
  2. Step 2: Convert to fraction form
    120,273/165,979.46 = 77,905.28/x
  3. Step 3: Cross multiply
    120,273x = 165,979.46 × 77,905.28
  4. Step 4: Simplify right side
    120,273x = 12,930,676,305.55
  5. Step 5: Solve for x
    x = 12,930,676,305.55/120,273
  6. Step 6: Final answer
    x = 107,511.05

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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.