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Finding the Fourth Proportional to 123,287.32, 184,930.98 and 78,934.96

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Solution

The fourth proportional to 123,287.32, 184,930.98 and 78,934.96 is: 118,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,287.32 : 184,930.98 = 78,934.96 : x
  2. Step 2: Convert to fraction form
    123,287.32/184,930.98 = 78,934.96/x
  3. Step 3: Cross multiply
    123,287.32x = 184,930.98 × 78,934.96
  4. Step 4: Simplify right side
    123,287.32x = 14,597,519,509.06
  5. Step 5: Solve for x
    x = 14,597,519,509.06/123,287.32
  6. Step 6: Final answer
    x = 118,402.44

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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.