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Finding the Fourth Proportional to 52,730.46, 72,769.86 and 30,072.87

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Solution

The fourth proportional to 52,730.46, 72,769.86 and 30,072.87 is: 41,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,730.46 : 72,769.86 = 30,072.87 : x
  2. Step 2: Convert to fraction form
    52,730.46/72,769.86 = 30,072.87/x
  3. Step 3: Cross multiply
    52,730.46x = 72,769.86 × 30,072.87
  4. Step 4: Simplify right side
    52,730.46x = 2,188,398,539.70
  5. Step 5: Solve for x
    x = 2,188,398,539.70/52,730.46
  6. Step 6: Final answer
    x = 41,501.60

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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.