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Finding the Fourth Proportional to 208,489.52, 287,714.40 and 112,995.20

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Solution

The fourth proportional to 208,489.52, 287,714.40 and 112,995.20 is: 155,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,489.52 : 287,714.40 = 112,995.20 : x
  2. Step 2: Convert to fraction form
    208,489.52/287,714.40 = 112,995.20/x
  3. Step 3: Cross multiply
    208,489.52x = 287,714.40 × 112,995.20
  4. Step 4: Simplify right side
    208,489.52x = 32,510,346,170.88
  5. Step 5: Solve for x
    x = 32,510,346,170.88/208,489.52
  6. Step 6: Final answer
    x = 155,932.76

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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.