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Finding the Fourth Proportional to 209,772.75, 289,482.75 and 114,278.61

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Solution

The fourth proportional to 209,772.75, 289,482.75 and 114,278.61 is: 157,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,772.75 : 289,482.75 = 114,278.61 : x
  2. Step 2: Convert to fraction form
    209,772.75/289,482.75 = 114,278.61/x
  3. Step 3: Cross multiply
    209,772.75x = 289,482.75 × 114,278.61
  4. Step 4: Simplify right side
    209,772.75x = 33,081,686,288.98
  5. Step 5: Solve for x
    x = 33,081,686,288.98/209,772.75
  6. Step 6: Final answer
    x = 157,702.50

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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.