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Finding the Fourth Proportional to 205,101.86, 307,650.97 and 71,950.93

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Solution

The fourth proportional to 205,101.86, 307,650.97 and 71,950.93 is: 107,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.86 : 307,650.97 = 71,950.93 : x
  2. Step 2: Convert to fraction form
    205,101.86/307,650.97 = 71,950.93/x
  3. Step 3: Cross multiply
    205,101.86x = 307,650.97 × 71,950.93
  4. Step 4: Simplify right side
    205,101.86x = 22,135,773,406.90
  5. Step 5: Solve for x
    x = 22,135,773,406.90/205,101.86
  6. Step 6: Final answer
    x = 107,925.76

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1.5x scale

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.