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Finding the Fourth Proportional to 156,651.86, 216,180.64 and 85,031.86

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Solution

The fourth proportional to 156,651.86, 216,180.64 and 85,031.86 is: 117,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,651.86 : 216,180.64 = 85,031.86 : x
  2. Step 2: Convert to fraction form
    156,651.86/216,180.64 = 85,031.86/x
  3. Step 3: Cross multiply
    156,651.86x = 216,180.64 × 85,031.86
  4. Step 4: Simplify right side
    156,651.86x = 18,382,241,915.19
  5. Step 5: Solve for x
    x = 18,382,241,915.19/156,651.86
  6. Step 6: Final answer
    x = 117,344.55

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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.