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Finding the Fourth Proportional to 208,189.92, 287,227.44 and 118,714.08

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Solution

The fourth proportional to 208,189.92, 287,227.44 and 118,714.08 is: 163,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,189.92 : 287,227.44 = 118,714.08 : x
  2. Step 2: Convert to fraction form
    208,189.92/287,227.44 = 118,714.08/x
  3. Step 3: Cross multiply
    208,189.92x = 287,227.44 × 118,714.08
  4. Step 4: Simplify right side
    208,189.92x = 34,097,941,290.36
  5. Step 5: Solve for x
    x = 34,097,941,290.36/208,189.92
  6. Step 6: Final answer
    x = 163,782.86

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1.5x scale

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.