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Finding the Fourth Proportional to 156,658.86, 216,193.86 and 85,043.52

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Solution

The fourth proportional to 156,658.86, 216,193.86 and 85,043.52 is: 117,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,658.86 : 216,193.86 = 85,043.52 : x
  2. Step 2: Convert to fraction form
    156,658.86/216,193.86 = 85,043.52/x
  3. Step 3: Cross multiply
    156,658.86x = 216,193.86 × 85,043.52
  4. Step 4: Simplify right side
    156,658.86x = 18,385,886,856.79
  5. Step 5: Solve for x
    x = 18,385,886,856.79/156,658.86
  6. Step 6: Final answer
    x = 117,362.57

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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.