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Finding the Fourth Proportional to 156,892.84, 216,512.15 and 85,272.86

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Solution

The fourth proportional to 156,892.84, 216,512.15 and 85,272.86 is: 117,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892.84 : 216,512.15 = 85,272.86 : x
  2. Step 2: Convert to fraction form
    156,892.84/216,512.15 = 85,272.86/x
  3. Step 3: Cross multiply
    156,892.84x = 216,512.15 × 85,272.86
  4. Step 4: Simplify right side
    156,892.84x = 18,462,610,370.17
  5. Step 5: Solve for x
    x = 18,462,610,370.17/156,892.84
  6. Step 6: Final answer
    x = 117,676.57

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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.