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Finding the Fourth Proportional to 128,398.23, 192,643.02 and 57,314.43

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Solution

The fourth proportional to 128,398.23, 192,643.02 and 57,314.43 is: 85,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,398.23 : 192,643.02 = 57,314.43 : x
  2. Step 2: Convert to fraction form
    128,398.23/192,643.02 = 57,314.43/x
  3. Step 3: Cross multiply
    128,398.23x = 192,643.02 × 57,314.43
  4. Step 4: Simplify right side
    128,398.23x = 11,041,224,884.78
  5. Step 5: Solve for x
    x = 11,041,224,884.78/128,398.23
  6. Step 6: Final answer
    x = 85,992.03

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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.