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Finding the Fourth Proportional to 205,534.67, 308,425.01 and 72,526.77

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Solution

The fourth proportional to 205,534.67, 308,425.01 and 72,526.77 is: 108,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,534.67 : 308,425.01 = 72,526.77 : x
  2. Step 2: Convert to fraction form
    205,534.67/308,425.01 = 72,526.77/x
  3. Step 3: Cross multiply
    205,534.67x = 308,425.01 × 72,526.77
  4. Step 4: Simplify right side
    205,534.67x = 22,369,069,399.88
  5. Step 5: Solve for x
    x = 22,369,069,399.88/205,534.67
  6. Step 6: Final answer
    x = 108,833.56

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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.