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Finding the Fourth Proportional to 257,208.94, 386,061.90 and 124,182.64

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Solution

The fourth proportional to 257,208.94, 386,061.90 and 124,182.64 is: 186,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,208.94 : 386,061.90 = 124,182.64 : x
  2. Step 2: Convert to fraction form
    257,208.94/386,061.90 = 124,182.64/x
  3. Step 3: Cross multiply
    257,208.94x = 386,061.90 × 124,182.64
  4. Step 4: Simplify right side
    257,208.94x = 47,942,185,945.42
  5. Step 5: Solve for x
    x = 47,942,185,945.42/257,208.94
  6. Step 6: Final answer
    x = 186,393.93

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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.