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Finding the Fourth Proportional to 72,283.41, 108,378.83 and 34,768.76

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Solution

The fourth proportional to 72,283.41, 108,378.83 and 34,768.76 is: 52,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,283.41 : 108,378.83 = 34,768.76 : x
  2. Step 2: Convert to fraction form
    72,283.41/108,378.83 = 34,768.76/x
  3. Step 3: Cross multiply
    72,283.41x = 108,378.83 × 34,768.76
  4. Step 4: Simplify right side
    72,283.41x = 3,768,196,813.61
  5. Step 5: Solve for x
    x = 3,768,196,813.61/72,283.41
  6. Step 6: Final answer
    x = 52,130.87

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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.