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Finding the Fourth Proportional to 208,496.57, 287,726.72 and 113,004.86

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Solution

The fourth proportional to 208,496.57, 287,726.72 and 113,004.86 is: 155,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,496.57 : 287,726.72 = 113,004.86 : x
  2. Step 2: Convert to fraction form
    208,496.57/287,726.72 = 113,004.86/x
  3. Step 3: Cross multiply
    208,496.57x = 287,726.72 × 113,004.86
  4. Step 4: Simplify right side
    208,496.57x = 32,514,515,708.20
  5. Step 5: Solve for x
    x = 32,514,515,708.20/208,496.57
  6. Step 6: Final answer
    x = 155,947.49

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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.