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Finding the Fourth Proportional to 208,279.86, 287,427.54 and 112,786.56

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Solution

The fourth proportional to 208,279.86, 287,427.54 and 112,786.56 is: 155,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.86 : 287,427.54 = 112,786.56 : x
  2. Step 2: Convert to fraction form
    208,279.86/287,427.54 = 112,786.56/x
  3. Step 3: Cross multiply
    208,279.86x = 287,427.54 × 112,786.56
  4. Step 4: Simplify right side
    208,279.86x = 32,417,963,485.86
  5. Step 5: Solve for x
    x = 32,417,963,485.86/208,279.86
  6. Step 6: Final answer
    x = 155,646.17

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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.