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Finding the Fourth Proportional to 145,745.31, 218,625.80 and 45,913.32

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Solution

The fourth proportional to 145,745.31, 218,625.80 and 45,913.32 is: 68,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,745.31 : 218,625.80 = 45,913.32 : x
  2. Step 2: Convert to fraction form
    145,745.31/218,625.80 = 45,913.32/x
  3. Step 3: Cross multiply
    145,745.31x = 218,625.80 × 45,913.32
  4. Step 4: Simplify right side
    145,745.31x = 10,037,836,086.09
  5. Step 5: Solve for x
    x = 10,037,836,086.09/145,745.31
  6. Step 6: Final answer
    x = 68,872.45

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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.