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Finding the Fourth Proportional to 257,160.47, 385,553.87 and 107,443.58

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Solution

The fourth proportional to 257,160.47, 385,553.87 and 107,443.58 is: 161,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,160.47 : 385,553.87 = 107,443.58 : x
  2. Step 2: Convert to fraction form
    257,160.47/385,553.87 = 107,443.58/x
  3. Step 3: Cross multiply
    257,160.47x = 385,553.87 × 107,443.58
  4. Step 4: Simplify right side
    257,160.47x = 41,425,288,075.65
  5. Step 5: Solve for x
    x = 41,425,288,075.65/257,160.47
  6. Step 6: Final answer
    x = 161,087.31

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1.5x scale

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.