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Finding the Fourth Proportional to 56,965.28, 85,447.71 and 15,412.28

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Solution

The fourth proportional to 56,965.28, 85,447.71 and 15,412.28 is: 23,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,965.28 : 85,447.71 = 15,412.28 : x
  2. Step 2: Convert to fraction form
    56,965.28/85,447.71 = 15,412.28/x
  3. Step 3: Cross multiply
    56,965.28x = 85,447.71 × 15,412.28
  4. Step 4: Simplify right side
    56,965.28x = 1,316,943,604.64
  5. Step 5: Solve for x
    x = 1,316,943,604.64/56,965.28
  6. Step 6: Final answer
    x = 23,118.36

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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.