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Finding the Fourth Proportional to 40,098.24, 60,059.88 and 19,278

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Solution

The fourth proportional to 40,098.24, 60,059.88 and 19,278 is: 28,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.24 : 60,059.88 = 19,278 : x
  2. Step 2: Convert to fraction form
    40,098.24/60,059.88 = 19,278/x
  3. Step 3: Cross multiply
    40,098.24x = 60,059.88 × 19,278
  4. Step 4: Simplify right side
    40,098.24x = 1,157,834,366.64
  5. Step 5: Solve for x
    x = 1,157,834,366.64/40,098.24
  6. Step 6: Final answer
    x = 28,874.94

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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.