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Finding the Fourth Proportional to 178,648.88, 268,024.20 and 145,680.80

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Solution

The fourth proportional to 178,648.88, 268,024.20 and 145,680.80 is: 218,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,648.88 : 268,024.20 = 145,680.80 : x
  2. Step 2: Convert to fraction form
    178,648.88/268,024.20 = 145,680.80/x
  3. Step 3: Cross multiply
    178,648.88x = 268,024.20 × 145,680.80
  4. Step 4: Simplify right side
    178,648.88x = 39,045,979,875.36
  5. Step 5: Solve for x
    x = 39,045,979,875.36/178,648.88
  6. Step 6: Final answer
    x = 218,562.69

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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.