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Finding the Fourth Proportional to 43,354.80, 65,069.24 and 30,905.28

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Solution

The fourth proportional to 43,354.80, 65,069.24 and 30,905.28 is: 46,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354.80 : 65,069.24 = 30,905.28 : x
  2. Step 2: Convert to fraction form
    43,354.80/65,069.24 = 30,905.28/x
  3. Step 3: Cross multiply
    43,354.80x = 65,069.24 × 30,905.28
  4. Step 4: Simplify right side
    43,354.80x = 2,010,982,927.06
  5. Step 5: Solve for x
    x = 2,010,982,927.06/43,354.80
  6. Step 6: Final answer
    x = 46,384.32

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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.