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Finding the Fourth Proportional to 257,182.23, 385,632.41 and 79,639.95

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Solution

The fourth proportional to 257,182.23, 385,632.41 and 79,639.95 is: 119,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,182.23 : 385,632.41 = 79,639.95 : x
  2. Step 2: Convert to fraction form
    257,182.23/385,632.41 = 79,639.95/x
  3. Step 3: Cross multiply
    257,182.23x = 385,632.41 × 79,639.95
  4. Step 4: Simplify right side
    257,182.23x = 30,711,745,452.58
  5. Step 5: Solve for x
    x = 30,711,745,452.58/257,182.23
  6. Step 6: Final answer
    x = 119,416.28

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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.