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Finding the Fourth Proportional to 208,156.65, 287,261.42 and 127,628.57

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Solution

The fourth proportional to 208,156.65, 287,261.42 and 127,628.57 is: 176,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.65 : 287,261.42 = 127,628.57 : x
  2. Step 2: Convert to fraction form
    208,156.65/287,261.42 = 127,628.57/x
  3. Step 3: Cross multiply
    208,156.65x = 287,261.42 × 127,628.57
  4. Step 4: Simplify right side
    208,156.65x = 36,662,764,250.77
  5. Step 5: Solve for x
    x = 36,662,764,250.77/208,156.65
  6. Step 6: Final answer
    x = 176,130.64

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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.