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Finding the Fourth Proportional to 208,178.40, 287,104.56 and 167,880.48

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Solution

The fourth proportional to 208,178.40, 287,104.56 and 167,880.48 is: 231,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.40 : 287,104.56 = 167,880.48 : x
  2. Step 2: Convert to fraction form
    208,178.40/287,104.56 = 167,880.48/x
  3. Step 3: Cross multiply
    208,178.40x = 287,104.56 × 167,880.48
  4. Step 4: Simplify right side
    208,178.40x = 48,199,251,342.99
  5. Step 5: Solve for x
    x = 48,199,251,342.99/208,178.40
  6. Step 6: Final answer
    x = 231,528.59

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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.