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Finding the Fourth Proportional to 48,257.70, 72,384.64 and 20,170.50

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Solution

The fourth proportional to 48,257.70, 72,384.64 and 20,170.50 is: 30,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257.70 : 72,384.64 = 20,170.50 : x
  2. Step 2: Convert to fraction form
    48,257.70/72,384.64 = 20,170.50/x
  3. Step 3: Cross multiply
    48,257.70x = 72,384.64 × 20,170.50
  4. Step 4: Simplify right side
    48,257.70x = 1,460,034,381.12
  5. Step 5: Solve for x
    x = 1,460,034,381.12/48,257.70
  6. Step 6: Final answer
    x = 30,254.95

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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.