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Finding the Fourth Proportional to 57,958.96, 86,825.62 and 42,733.78

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Solution

The fourth proportional to 57,958.96, 86,825.62 and 42,733.78 is: 64,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958.96 : 86,825.62 = 42,733.78 : x
  2. Step 2: Convert to fraction form
    57,958.96/86,825.62 = 42,733.78/x
  3. Step 3: Cross multiply
    57,958.96x = 86,825.62 × 42,733.78
  4. Step 4: Simplify right side
    57,958.96x = 3,710,386,943.44
  5. Step 5: Solve for x
    x = 3,710,386,943.44/57,958.96
  6. Step 6: Final answer
    x = 64,017.49

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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.