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Finding the Fourth Proportional to 66,255.84, 99,384.48 and 19,509.60

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Solution

The fourth proportional to 66,255.84, 99,384.48 and 19,509.60 is: 29,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,255.84 : 99,384.48 = 19,509.60 : x
  2. Step 2: Convert to fraction form
    66,255.84/99,384.48 = 19,509.60/x
  3. Step 3: Cross multiply
    66,255.84x = 99,384.48 × 19,509.60
  4. Step 4: Simplify right side
    66,255.84x = 1,938,951,451.01
  5. Step 5: Solve for x
    x = 1,938,951,451.01/66,255.84
  6. Step 6: Final answer
    x = 29,264.61

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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.