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Finding the Fourth Proportional to 153,915.20, 230,872.80 and 54,090.80

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Solution

The fourth proportional to 153,915.20, 230,872.80 and 54,090.80 is: 81,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,915.20 : 230,872.80 = 54,090.80 : x
  2. Step 2: Convert to fraction form
    153,915.20/230,872.80 = 54,090.80/x
  3. Step 3: Cross multiply
    153,915.20x = 230,872.80 × 54,090.80
  4. Step 4: Simplify right side
    153,915.20x = 12,488,094,450.24
  5. Step 5: Solve for x
    x = 12,488,094,450.24/153,915.20
  6. Step 6: Final answer
    x = 81,136.20

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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.