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Finding the Fourth Proportional to 74,840.31, 112,200.84 and 43,214.47

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Solution

The fourth proportional to 74,840.31, 112,200.84 and 43,214.47 is: 64,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,840.31 : 112,200.84 = 43,214.47 : x
  2. Step 2: Convert to fraction form
    74,840.31/112,200.84 = 43,214.47/x
  3. Step 3: Cross multiply
    74,840.31x = 112,200.84 × 43,214.47
  4. Step 4: Simplify right side
    74,840.31x = 4,848,699,834.15
  5. Step 5: Solve for x
    x = 4,848,699,834.15/74,840.31
  6. Step 6: Final answer
    x = 64,787.28

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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.