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Finding the Fourth Proportional to 257,040.06, 385,497.99 and 99,167.82

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Solution

The fourth proportional to 257,040.06, 385,497.99 and 99,167.82 is: 148,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040.06 : 385,497.99 = 99,167.82 : x
  2. Step 2: Convert to fraction form
    257,040.06/385,497.99 = 99,167.82/x
  3. Step 3: Cross multiply
    257,040.06x = 385,497.99 × 99,167.82
  4. Step 4: Simplify right side
    257,040.06x = 38,228,995,282.68
  5. Step 5: Solve for x
    x = 38,228,995,282.68/257,040.06
  6. Step 6: Final answer
    x = 148,727.77

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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.