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Finding the Fourth Proportional to 123,978.40, 185,963.45 and 53,857.71

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Solution

The fourth proportional to 123,978.40, 185,963.45 and 53,857.71 is: 80,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,978.40 : 185,963.45 = 53,857.71 : x
  2. Step 2: Convert to fraction form
    123,978.40/185,963.45 = 53,857.71/x
  3. Step 3: Cross multiply
    123,978.40x = 185,963.45 × 53,857.71
  4. Step 4: Simplify right side
    123,978.40x = 10,015,565,291.41
  5. Step 5: Solve for x
    x = 10,015,565,291.41/123,978.40
  6. Step 6: Final answer
    x = 80,784.76

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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.