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Finding the Fourth Proportional to 178,771.20, 268,192.80 and 52,411.20

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Solution

The fourth proportional to 178,771.20, 268,192.80 and 52,411.20 is: 78,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,771.20 : 268,192.80 = 52,411.20 : x
  2. Step 2: Convert to fraction form
    178,771.20/268,192.80 = 52,411.20/x
  3. Step 3: Cross multiply
    178,771.20x = 268,192.80 × 52,411.20
  4. Step 4: Simplify right side
    178,771.20x = 14,056,306,479.36
  5. Step 5: Solve for x
    x = 14,056,306,479.36/178,771.20
  6. Step 6: Final answer
    x = 78,627.35

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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.