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Finding the Fourth Proportional to 120,738.70, 169,384.10 and 120,738.70

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Solution

The fourth proportional to 120,738.70, 169,384.10 and 120,738.70 is: 169,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.70 : 169,384.10 = 120,738.70 : x
  2. Step 2: Convert to fraction form
    120,738.70/169,384.10 = 120,738.70/x
  3. Step 3: Cross multiply
    120,738.70x = 169,384.10 × 120,738.70
  4. Step 4: Simplify right side
    120,738.70x = 20,451,216,034.67
  5. Step 5: Solve for x
    x = 20,451,216,034.67/120,738.70
  6. Step 6: Final answer
    x = 169,384.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.