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Finding the Fourth Proportional to 205,784.55, 308,701.53 and 72,637.56

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Solution

The fourth proportional to 205,784.55, 308,701.53 and 72,637.56 is: 108,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784.55 : 308,701.53 = 72,637.56 : x
  2. Step 2: Convert to fraction form
    205,784.55/308,701.53 = 72,637.56/x
  3. Step 3: Cross multiply
    205,784.55x = 308,701.53 × 72,637.56
  4. Step 4: Simplify right side
    205,784.55x = 22,423,325,907.47
  5. Step 5: Solve for x
    x = 22,423,325,907.47/205,784.55
  6. Step 6: Final answer
    x = 108,965.06

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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.