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Finding the Fourth Proportional to 208,813.71, 288,159.84 and 122,782.41

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Solution

The fourth proportional to 208,813.71, 288,159.84 and 122,782.41 is: 169,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,813.71 : 288,159.84 = 122,782.41 : x
  2. Step 2: Convert to fraction form
    208,813.71/288,159.84 = 122,782.41/x
  3. Step 3: Cross multiply
    208,813.71x = 288,159.84 × 122,782.41
  4. Step 4: Simplify right side
    208,813.71x = 35,380,959,620.41
  5. Step 5: Solve for x
    x = 35,380,959,620.41/208,813.71
  6. Step 6: Final answer
    x = 169,437.91

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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.