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Finding the Fourth Proportional to 208,698.42, 287,684.25 and 127,976.25

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Solution

The fourth proportional to 208,698.42, 287,684.25 and 127,976.25 is: 176,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698.42 : 287,684.25 = 127,976.25 : x
  2. Step 2: Convert to fraction form
    208,698.42/287,684.25 = 127,976.25/x
  3. Step 3: Cross multiply
    208,698.42x = 287,684.25 × 127,976.25
  4. Step 4: Simplify right side
    208,698.42x = 36,816,751,499.06
  5. Step 5: Solve for x
    x = 36,816,751,499.06/208,698.42
  6. Step 6: Final answer
    x = 176,411.26

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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.