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Finding the Fourth Proportional to 205,000.08, 307,487.94 and 78,700.86

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Solution

The fourth proportional to 205,000.08, 307,487.94 and 78,700.86 is: 118,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.08 : 307,487.94 = 78,700.86 : x
  2. Step 2: Convert to fraction form
    205,000.08/307,487.94 = 78,700.86/x
  3. Step 3: Cross multiply
    205,000.08x = 307,487.94 × 78,700.86
  4. Step 4: Simplify right side
    205,000.08x = 24,199,565,317.63
  5. Step 5: Solve for x
    x = 24,199,565,317.63/205,000.08
  6. Step 6: Final answer
    x = 118,046.61

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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.