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Finding the Fourth Proportional to 208,080, 287,119.60 and 126,365.76

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Solution

The fourth proportional to 208,080, 287,119.60 and 126,365.76 is: 174,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080 : 287,119.60 = 126,365.76 : x
  2. Step 2: Convert to fraction form
    208,080/287,119.60 = 126,365.76/x
  3. Step 3: Cross multiply
    208,080x = 287,119.60 × 126,365.76
  4. Step 4: Simplify right side
    208,080x = 36,282,086,148.98
  5. Step 5: Solve for x
    x = 36,282,086,148.98/208,080
  6. Step 6: Final answer
    x = 174,366.04

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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.