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Finding the Fourth Proportional to 56,830.64, 85,228.68 and 19,886

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Solution

The fourth proportional to 56,830.64, 85,228.68 and 19,886 is: 29,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,830.64 : 85,228.68 = 19,886 : x
  2. Step 2: Convert to fraction form
    56,830.64/85,228.68 = 19,886/x
  3. Step 3: Cross multiply
    56,830.64x = 85,228.68 × 19,886
  4. Step 4: Simplify right side
    56,830.64x = 1,694,857,530.48
  5. Step 5: Solve for x
    x = 1,694,857,530.48/56,830.64
  6. Step 6: Final answer
    x = 29,822.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.