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Finding the Fourth Proportional to 146,732.80, 220,172.10 and 57,989.20

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Solution

The fourth proportional to 146,732.80, 220,172.10 and 57,989.20 is: 87,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,732.80 : 220,172.10 = 57,989.20 : x
  2. Step 2: Convert to fraction form
    146,732.80/220,172.10 = 57,989.20/x
  3. Step 3: Cross multiply
    146,732.80x = 220,172.10 × 57,989.20
  4. Step 4: Simplify right side
    146,732.80x = 12,767,603,941.32
  5. Step 5: Solve for x
    x = 12,767,603,941.32/146,732.80
  6. Step 6: Final answer
    x = 87,012.61

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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.