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Finding the Fourth Proportional to 64,764, 89,374.32 and 37,905.21

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Solution

The fourth proportional to 64,764, 89,374.32 and 37,905.21 is: 52,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 89,374.32 = 37,905.21 : x
  2. Step 2: Convert to fraction form
    64,764/89,374.32 = 37,905.21/x
  3. Step 3: Cross multiply
    64,764x = 89,374.32 × 37,905.21
  4. Step 4: Simplify right side
    64,764x = 3,387,752,368.21
  5. Step 5: Solve for x
    x = 3,387,752,368.21/64,764
  6. Step 6: Final answer
    x = 52,309.19

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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.