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Finding the Fourth Proportional to 52,314, 72,194.04 and 28,440.68

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Solution

The fourth proportional to 52,314, 72,194.04 and 28,440.68 is: 39,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314 : 72,194.04 = 28,440.68 : x
  2. Step 2: Convert to fraction form
    52,314/72,194.04 = 28,440.68/x
  3. Step 3: Cross multiply
    52,314x = 72,194.04 × 28,440.68
  4. Step 4: Simplify right side
    52,314x = 2,053,247,589.55
  5. Step 5: Solve for x
    x = 2,053,247,589.55/52,314
  6. Step 6: Final answer
    x = 39,248.53

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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.