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Finding the Fourth Proportional to 202,947.83, 280,063.81 and 112,303.74

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Solution

The fourth proportional to 202,947.83, 280,063.81 and 112,303.74 is: 154,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,947.83 : 280,063.81 = 112,303.74 : x
  2. Step 2: Convert to fraction form
    202,947.83/280,063.81 = 112,303.74/x
  3. Step 3: Cross multiply
    202,947.83x = 280,063.81 × 112,303.74
  4. Step 4: Simplify right side
    202,947.83x = 31,452,211,970.65
  5. Step 5: Solve for x
    x = 31,452,211,970.65/202,947.83
  6. Step 6: Final answer
    x = 154,976.84

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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.