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Finding the Fourth Proportional to 120,597.78, 180,838.35 and 70,694.10

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Solution

The fourth proportional to 120,597.78, 180,838.35 and 70,694.10 is: 106,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,597.78 : 180,838.35 = 70,694.10 : x
  2. Step 2: Convert to fraction form
    120,597.78/180,838.35 = 70,694.10/x
  3. Step 3: Cross multiply
    120,597.78x = 180,838.35 × 70,694.10
  4. Step 4: Simplify right side
    120,597.78x = 12,784,204,398.74
  5. Step 5: Solve for x
    x = 12,784,204,398.74/120,597.78
  6. Step 6: Final answer
    x = 106,006.96

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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.