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Finding the Fourth Proportional to 56,449.68, 84,713.40 and 19,513.68

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Solution

The fourth proportional to 56,449.68, 84,713.40 and 19,513.68 is: 29,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,449.68 : 84,713.40 = 19,513.68 : x
  2. Step 2: Convert to fraction form
    56,449.68/84,713.40 = 19,513.68/x
  3. Step 3: Cross multiply
    56,449.68x = 84,713.40 × 19,513.68
  4. Step 4: Simplify right side
    56,449.68x = 1,653,070,179.31
  5. Step 5: Solve for x
    x = 1,653,070,179.31/56,449.68
  6. Step 6: Final answer
    x = 29,283.96

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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.