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Finding the Fourth Proportional to 65,680.64, 90,669.12 and 41,840

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Solution

The fourth proportional to 65,680.64, 90,669.12 and 41,840 is: 57,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,680.64 : 90,669.12 = 41,840 : x
  2. Step 2: Convert to fraction form
    65,680.64/90,669.12 = 41,840/x
  3. Step 3: Cross multiply
    65,680.64x = 90,669.12 × 41,840
  4. Step 4: Simplify right side
    65,680.64x = 3,793,595,980.80
  5. Step 5: Solve for x
    x = 3,793,595,980.80/65,680.64
  6. Step 6: Final answer
    x = 57,758.21

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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.