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Finding the Fourth Proportional to 257,132.97, 385,801.01 and 79,653.83

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Solution

The fourth proportional to 257,132.97, 385,801.01 and 79,653.83 is: 119,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,132.97 : 385,801.01 = 79,653.83 : x
  2. Step 2: Convert to fraction form
    257,132.97/385,801.01 = 79,653.83/x
  3. Step 3: Cross multiply
    257,132.97x = 385,801.01 × 79,653.83
  4. Step 4: Simplify right side
    257,132.97x = 30,730,525,737.09
  5. Step 5: Solve for x
    x = 30,730,525,737.09/257,132.97
  6. Step 6: Final answer
    x = 119,512.20

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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.