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Finding the Fourth Proportional to 257,103.90, 385,904.62 and 124,077.80

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Solution

The fourth proportional to 257,103.90, 385,904.62 and 124,077.80 is: 186,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,103.90 : 385,904.62 = 124,077.80 : x
  2. Step 2: Convert to fraction form
    257,103.90/385,904.62 = 124,077.80/x
  3. Step 3: Cross multiply
    257,103.90x = 385,904.62 × 124,077.80
  4. Step 4: Simplify right side
    257,103.90x = 47,882,196,259.44
  5. Step 5: Solve for x
    x = 47,882,196,259.44/257,103.90
  6. Step 6: Final answer
    x = 186,236.76

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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.