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Finding the Fourth Proportional to 208,053.84, 287,064.36 and 126,380.46

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Solution

The fourth proportional to 208,053.84, 287,064.36 and 126,380.46 is: 174,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.84 : 287,064.36 = 126,380.46 : x
  2. Step 2: Convert to fraction form
    208,053.84/287,064.36 = 126,380.46/x
  3. Step 3: Cross multiply
    208,053.84x = 287,064.36 × 126,380.46
  4. Step 4: Simplify right side
    208,053.84x = 36,279,325,866.41
  5. Step 5: Solve for x
    x = 36,279,325,866.41/208,053.84
  6. Step 6: Final answer
    x = 174,374.70

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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.