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Finding the Fourth Proportional to 30,457.90, 45,711.21 and 29,485.90

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Solution

The fourth proportional to 30,457.90, 45,711.21 and 29,485.90 is: 44,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.90 : 45,711.21 = 29,485.90 : x
  2. Step 2: Convert to fraction form
    30,457.90/45,711.21 = 29,485.90/x
  3. Step 3: Cross multiply
    30,457.90x = 45,711.21 × 29,485.90
  4. Step 4: Simplify right side
    30,457.90x = 1,347,836,166.94
  5. Step 5: Solve for x
    x = 1,347,836,166.94/30,457.90
  6. Step 6: Final answer
    x = 44,252.43

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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.