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Finding the Fourth Proportional to 43,354.71, 65,045.16 and 30,728.88

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Solution

The fourth proportional to 43,354.71, 65,045.16 and 30,728.88 is: 46,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354.71 : 65,045.16 = 30,728.88 : x
  2. Step 2: Convert to fraction form
    43,354.71/65,045.16 = 30,728.88/x
  3. Step 3: Cross multiply
    43,354.71x = 65,045.16 × 30,728.88
  4. Step 4: Simplify right side
    43,354.71x = 1,998,764,916.22
  5. Step 5: Solve for x
    x = 1,998,764,916.22/43,354.71
  6. Step 6: Final answer
    x = 46,102.60

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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.