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Finding the Fourth Proportional to 60,431.84, 90,634.08 and 22,978.55

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Solution

The fourth proportional to 60,431.84, 90,634.08 and 22,978.55 is: 34,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,431.84 : 90,634.08 = 22,978.55 : x
  2. Step 2: Convert to fraction form
    60,431.84/90,634.08 = 22,978.55/x
  3. Step 3: Cross multiply
    60,431.84x = 90,634.08 × 22,978.55
  4. Step 4: Simplify right side
    60,431.84x = 2,082,639,738.98
  5. Step 5: Solve for x
    x = 2,082,639,738.98/60,431.84
  6. Step 6: Final answer
    x = 34,462.62

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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.