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Finding the Fourth Proportional to 257,204.94, 386,055.90 and 124,178.64

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Solution

The fourth proportional to 257,204.94, 386,055.90 and 124,178.64 is: 186,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,204.94 : 386,055.90 = 124,178.64 : x
  2. Step 2: Convert to fraction form
    257,204.94/386,055.90 = 124,178.64/x
  3. Step 3: Cross multiply
    257,204.94x = 386,055.90 × 124,178.64
  4. Step 4: Simplify right side
    257,204.94x = 47,939,896,625.98
  5. Step 5: Solve for x
    x = 47,939,896,625.98/257,204.94
  6. Step 6: Final answer
    x = 186,387.93

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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.