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Finding the Fourth Proportional to 66,447.20, 99,824.40 and 45,711.20

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Solution

The fourth proportional to 66,447.20, 99,824.40 and 45,711.20 is: 68,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,447.20 : 99,824.40 = 45,711.20 : x
  2. Step 2: Convert to fraction form
    66,447.20/99,824.40 = 45,711.20/x
  3. Step 3: Cross multiply
    66,447.20x = 99,824.40 × 45,711.20
  4. Step 4: Simplify right side
    66,447.20x = 4,563,093,113.28
  5. Step 5: Solve for x
    x = 4,563,093,113.28/66,447.20
  6. Step 6: Final answer
    x = 68,672.47

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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.