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Finding the Fourth Proportional to 52,614.88, 72,596.58 and 31,390

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Solution

The fourth proportional to 52,614.88, 72,596.58 and 31,390 is: 43,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,614.88 : 72,596.58 = 31,390 : x
  2. Step 2: Convert to fraction form
    52,614.88/72,596.58 = 31,390/x
  3. Step 3: Cross multiply
    52,614.88x = 72,596.58 × 31,390
  4. Step 4: Simplify right side
    52,614.88x = 2,278,806,646.20
  5. Step 5: Solve for x
    x = 2,278,806,646.20/52,614.88
  6. Step 6: Final answer
    x = 43,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.