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Finding the Fourth Proportional to 89,714.78, 123,809.64 and 55,742

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Solution

The fourth proportional to 89,714.78, 123,809.64 and 55,742 is: 76,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,714.78 : 123,809.64 = 55,742 : x
  2. Step 2: Convert to fraction form
    89,714.78/123,809.64 = 55,742/x
  3. Step 3: Cross multiply
    89,714.78x = 123,809.64 × 55,742
  4. Step 4: Simplify right side
    89,714.78x = 6,901,396,952.88
  5. Step 5: Solve for x
    x = 6,901,396,952.88/89,714.78
  6. Step 6: Final answer
    x = 76,925.98

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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.