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Finding the Fourth Proportional to 47,714, 71,547.84 and 14,427.68

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Solution

The fourth proportional to 47,714, 71,547.84 and 14,427.68 is: 21,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714 : 71,547.84 = 14,427.68 : x
  2. Step 2: Convert to fraction form
    47,714/71,547.84 = 14,427.68/x
  3. Step 3: Cross multiply
    47,714x = 71,547.84 × 14,427.68
  4. Step 4: Simplify right side
    47,714x = 1,032,269,340.21
  5. Step 5: Solve for x
    x = 1,032,269,340.21/47,714
  6. Step 6: Final answer
    x = 21,634.52

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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.