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Finding the Fourth Proportional to 257,114.70, 385,672.05 and 107,305.20

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Solution

The fourth proportional to 257,114.70, 385,672.05 and 107,305.20 is: 160,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,114.70 : 385,672.05 = 107,305.20 : x
  2. Step 2: Convert to fraction form
    257,114.70/385,672.05 = 107,305.20/x
  3. Step 3: Cross multiply
    257,114.70x = 385,672.05 × 107,305.20
  4. Step 4: Simplify right side
    257,114.70x = 41,384,616,459.66
  5. Step 5: Solve for x
    x = 41,384,616,459.66/257,114.70
  6. Step 6: Final answer
    x = 160,957.80

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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.