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Finding the Fourth Proportional to 64,537.60, 89,083.68 and 40,704

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Solution

The fourth proportional to 64,537.60, 89,083.68 and 40,704 is: 56,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,537.60 : 89,083.68 = 40,704 : x
  2. Step 2: Convert to fraction form
    64,537.60/89,083.68 = 40,704/x
  3. Step 3: Cross multiply
    64,537.60x = 89,083.68 × 40,704
  4. Step 4: Simplify right side
    64,537.60x = 3,626,062,110.72
  5. Step 5: Solve for x
    x = 3,626,062,110.72/64,537.60
  6. Step 6: Final answer
    x = 56,185.26

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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.