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Finding the Fourth Proportional to 257,104.59, 385,905.65 and 124,078.49

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Solution

The fourth proportional to 257,104.59, 385,905.65 and 124,078.49 is: 186,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,104.59 : 385,905.65 = 124,078.49 : x
  2. Step 2: Convert to fraction form
    257,104.59/385,905.65 = 124,078.49/x
  3. Step 3: Cross multiply
    257,104.59x = 385,905.65 × 124,078.49
  4. Step 4: Simplify right side
    257,104.59x = 47,882,590,334.47
  5. Step 5: Solve for x
    x = 47,882,590,334.47/257,104.59
  6. Step 6: Final answer
    x = 186,237.79

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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.