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Finding the Fourth Proportional to 56,742.88, 85,119.96 and 21,712

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Solution

The fourth proportional to 56,742.88, 85,119.96 and 21,712 is: 32,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.88 : 85,119.96 = 21,712 : x
  2. Step 2: Convert to fraction form
    56,742.88/85,119.96 = 21,712/x
  3. Step 3: Cross multiply
    56,742.88x = 85,119.96 × 21,712
  4. Step 4: Simplify right side
    56,742.88x = 1,848,124,571.52
  5. Step 5: Solve for x
    x = 1,848,124,571.52/56,742.88
  6. Step 6: Final answer
    x = 32,570.16

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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.