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Finding the Fourth Proportional to 221,382.10, 305,510.70 and 120,780.10

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Solution

The fourth proportional to 221,382.10, 305,510.70 and 120,780.10 is: 166,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,382.10 : 305,510.70 = 120,780.10 : x
  2. Step 2: Convert to fraction form
    221,382.10/305,510.70 = 120,780.10/x
  3. Step 3: Cross multiply
    221,382.10x = 305,510.70 × 120,780.10
  4. Step 4: Simplify right side
    221,382.10x = 36,899,612,897.07
  5. Step 5: Solve for x
    x = 36,899,612,897.07/221,382.10
  6. Step 6: Final answer
    x = 166,678.39

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1.5x scale

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.