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Finding the Fourth Proportional to 257,185.76, 385,637.67 and 79,643.48

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Solution

The fourth proportional to 257,185.76, 385,637.67 and 79,643.48 is: 119,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,185.76 : 385,637.67 = 79,643.48 : x
  2. Step 2: Convert to fraction form
    257,185.76/385,637.67 = 79,643.48/x
  3. Step 3: Cross multiply
    257,185.76x = 385,637.67 × 79,643.48
  4. Step 4: Simplify right side
    257,185.76x = 30,713,524,129.70
  5. Step 5: Solve for x
    x = 30,713,524,129.70/257,185.76
  6. Step 6: Final answer
    x = 119,421.56

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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.