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Finding the Fourth Proportional to 178,920, 268,389.12 and 45,801.36

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Solution

The fourth proportional to 178,920, 268,389.12 and 45,801.36 is: 68,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 268,389.12 = 45,801.36 : x
  2. Step 2: Convert to fraction form
    178,920/268,389.12 = 45,801.36/x
  3. Step 3: Cross multiply
    178,920x = 268,389.12 × 45,801.36
  4. Step 4: Simplify right side
    178,920x = 12,292,586,705.20
  5. Step 5: Solve for x
    x = 12,292,586,705.20/178,920
  6. Step 6: Final answer
    x = 68,704.37

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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.