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Finding the Fourth Proportional to 257,065.88, 385,758.48 and 123,959.84

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Solution

The fourth proportional to 257,065.88, 385,758.48 and 123,959.84 is: 186,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,065.88 : 385,758.48 = 123,959.84 : x
  2. Step 2: Convert to fraction form
    257,065.88/385,758.48 = 123,959.84/x
  3. Step 3: Cross multiply
    257,065.88x = 385,758.48 × 123,959.84
  4. Step 4: Simplify right side
    257,065.88x = 47,818,559,459.44
  5. Step 5: Solve for x
    x = 47,818,559,459.44/257,065.88
  6. Step 6: Final answer
    x = 186,016.75

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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.