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Finding the Fourth Proportional to 113,792.64, 156,962.88 and 81,911.04

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Solution

The fourth proportional to 113,792.64, 156,962.88 and 81,911.04 is: 112,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,792.64 : 156,962.88 = 81,911.04 : x
  2. Step 2: Convert to fraction form
    113,792.64/156,962.88 = 81,911.04/x
  3. Step 3: Cross multiply
    113,792.64x = 156,962.88 × 81,911.04
  4. Step 4: Simplify right side
    113,792.64x = 12,856,992,742.20
  5. Step 5: Solve for x
    x = 12,856,992,742.20/113,792.64
  6. Step 6: Final answer
    x = 112,986.15

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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.