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Finding the Fourth Proportional to 208,157.37, 287,264.13 and 127,569.33

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Solution

The fourth proportional to 208,157.37, 287,264.13 and 127,569.33 is: 176,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.37 : 287,264.13 = 127,569.33 : x
  2. Step 2: Convert to fraction form
    208,157.37/287,264.13 = 127,569.33/x
  3. Step 3: Cross multiply
    208,157.37x = 287,264.13 × 127,569.33
  4. Step 4: Simplify right side
    208,157.37x = 36,646,090,522.97
  5. Step 5: Solve for x
    x = 36,646,090,522.97/208,157.37
  6. Step 6: Final answer
    x = 176,049.93

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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.