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Finding the Fourth Proportional to 257,277.65, 385,881.44 and 67,722.14

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Solution

The fourth proportional to 257,277.65, 385,881.44 and 67,722.14 is: 101,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,277.65 : 385,881.44 = 67,722.14 : x
  2. Step 2: Convert to fraction form
    257,277.65/385,881.44 = 67,722.14/x
  3. Step 3: Cross multiply
    257,277.65x = 385,881.44 × 67,722.14
  4. Step 4: Simplify right side
    257,277.65x = 26,132,715,358.59
  5. Step 5: Solve for x
    x = 26,132,715,358.59/257,277.65
  6. Step 6: Final answer
    x = 101,573.98

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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.