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Finding the Fourth Proportional to 57,688, 79,537.32 and 48,141.64

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Solution

The fourth proportional to 57,688, 79,537.32 and 48,141.64 is: 66,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 79,537.32 = 48,141.64 : x
  2. Step 2: Convert to fraction form
    57,688/79,537.32 = 48,141.64/x
  3. Step 3: Cross multiply
    57,688x = 79,537.32 × 48,141.64
  4. Step 4: Simplify right side
    57,688x = 3,829,057,026.00
  5. Step 5: Solve for x
    x = 3,829,057,026.00/57,688
  6. Step 6: Final answer
    x = 66,375.28

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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.