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Finding the Fourth Proportional to 208,161.90, 287,270.35 and 127,573.84

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Solution

The fourth proportional to 208,161.90, 287,270.35 and 127,573.84 is: 176,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,161.90 : 287,270.35 = 127,573.84 : x
  2. Step 2: Convert to fraction form
    208,161.90/287,270.35 = 127,573.84/x
  3. Step 3: Cross multiply
    208,161.90x = 287,270.35 × 127,573.84
  4. Step 4: Simplify right side
    208,161.90x = 36,648,180,091.90
  5. Step 5: Solve for x
    x = 36,648,180,091.90/208,161.90
  6. Step 6: Final answer
    x = 176,056.14

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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.