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Finding the Fourth Proportional to 48,487.50, 66,913.56 and 31,720.50

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Solution

The fourth proportional to 48,487.50, 66,913.56 and 31,720.50 is: 43,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,487.50 : 66,913.56 = 31,720.50 : x
  2. Step 2: Convert to fraction form
    48,487.50/66,913.56 = 31,720.50/x
  3. Step 3: Cross multiply
    48,487.50x = 66,913.56 × 31,720.50
  4. Step 4: Simplify right side
    48,487.50x = 2,122,531,579.98
  5. Step 5: Solve for x
    x = 2,122,531,579.98/48,487.50
  6. Step 6: Final answer
    x = 43,774.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.