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Finding the Fourth Proportional to 257,742.02, 386,668.64 and 77,812.52

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Solution

The fourth proportional to 257,742.02, 386,668.64 and 77,812.52 is: 116,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742.02 : 386,668.64 = 77,812.52 : x
  2. Step 2: Convert to fraction form
    257,742.02/386,668.64 = 77,812.52/x
  3. Step 3: Cross multiply
    257,742.02x = 386,668.64 × 77,812.52
  4. Step 4: Simplify right side
    257,742.02x = 30,087,659,544.56
  5. Step 5: Solve for x
    x = 30,087,659,544.56/257,742.02
  6. Step 6: Final answer
    x = 116,735.56

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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.