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Finding the Fourth Proportional to 257,396.64, 386,078.00 and 88,919.37

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Solution

The fourth proportional to 257,396.64, 386,078.00 and 88,919.37 is: 133,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,396.64 : 386,078.00 = 88,919.37 : x
  2. Step 2: Convert to fraction form
    257,396.64/386,078.00 = 88,919.37/x
  3. Step 3: Cross multiply
    257,396.64x = 386,078.00 × 88,919.37
  4. Step 4: Simplify right side
    257,396.64x = 34,329,812,086.26
  5. Step 5: Solve for x
    x = 34,329,812,086.26/257,396.64
  6. Step 6: Final answer
    x = 133,373.20

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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.