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Finding the Fourth Proportional to 207,714.80, 286,646.06 and 112,221.20

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Solution

The fourth proportional to 207,714.80, 286,646.06 and 112,221.20 is: 154,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714.80 : 286,646.06 = 112,221.20 : x
  2. Step 2: Convert to fraction form
    207,714.80/286,646.06 = 112,221.20/x
  3. Step 3: Cross multiply
    207,714.80x = 286,646.06 × 112,221.20
  4. Step 4: Simplify right side
    207,714.80x = 32,167,764,828.47
  5. Step 5: Solve for x
    x = 32,167,764,828.47/207,714.80
  6. Step 6: Final answer
    x = 154,865.06

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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.