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Finding the Fourth Proportional to 103,411.21, 155,116.83 and 29,539.21

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Solution

The fourth proportional to 103,411.21, 155,116.83 and 29,539.21 is: 44,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.21 : 155,116.83 = 29,539.21 : x
  2. Step 2: Convert to fraction form
    103,411.21/155,116.83 = 29,539.21/x
  3. Step 3: Cross multiply
    103,411.21x = 155,116.83 × 29,539.21
  4. Step 4: Simplify right side
    103,411.21x = 4,582,028,615.90
  5. Step 5: Solve for x
    x = 4,582,028,615.90/103,411.21
  6. Step 6: Final answer
    x = 44,308.82

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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.