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Finding the Fourth Proportional to 57,326.70, 85,942.64 and 21,780.66

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Solution

The fourth proportional to 57,326.70, 85,942.64 and 21,780.66 is: 32,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,326.70 : 85,942.64 = 21,780.66 : x
  2. Step 2: Convert to fraction form
    57,326.70/85,942.64 = 21,780.66/x
  3. Step 3: Cross multiply
    57,326.70x = 85,942.64 × 21,780.66
  4. Step 4: Simplify right side
    57,326.70x = 1,871,887,421.34
  5. Step 5: Solve for x
    x = 1,871,887,421.34/57,326.70
  6. Step 6: Final answer
    x = 32,652.98

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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.