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Finding the Fourth Proportional to 208,798.70, 288,010.83 and 123,855.50

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Solution

The fourth proportional to 208,798.70, 288,010.83 and 123,855.50 is: 170,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.70 : 288,010.83 = 123,855.50 : x
  2. Step 2: Convert to fraction form
    208,798.70/288,010.83 = 123,855.50/x
  3. Step 3: Cross multiply
    208,798.70x = 288,010.83 × 123,855.50
  4. Step 4: Simplify right side
    208,798.70x = 35,671,725,355.07
  5. Step 5: Solve for x
    x = 35,671,725,355.07/208,798.70
  6. Step 6: Final answer
    x = 170,842.66

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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.