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Finding the Fourth Proportional to 206,947.68, 310,602.88 and 118,379.04

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Solution

The fourth proportional to 206,947.68, 310,602.88 and 118,379.04 is: 177,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,947.68 : 310,602.88 = 118,379.04 : x
  2. Step 2: Convert to fraction form
    206,947.68/310,602.88 = 118,379.04/x
  3. Step 3: Cross multiply
    206,947.68x = 310,602.88 × 118,379.04
  4. Step 4: Simplify right side
    206,947.68x = 36,768,870,755.64
  5. Step 5: Solve for x
    x = 36,768,870,755.64/206,947.68
  6. Step 6: Final answer
    x = 177,672.30

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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.