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Finding the Fourth Proportional to 156,962.88, 216,609.30 and 85,342.68

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Solution

The fourth proportional to 156,962.88, 216,609.30 and 85,342.68 is: 117,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962.88 : 216,609.30 = 85,342.68 : x
  2. Step 2: Convert to fraction form
    156,962.88/216,609.30 = 85,342.68/x
  3. Step 3: Cross multiply
    156,962.88x = 216,609.30 × 85,342.68
  4. Step 4: Simplify right side
    156,962.88x = 18,486,018,174.92
  5. Step 5: Solve for x
    x = 18,486,018,174.92/156,962.88
  6. Step 6: Final answer
    x = 117,773.18

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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.