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Finding the Fourth Proportional to 156,825.96, 216,420.05 and 85,205.96

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Solution

The fourth proportional to 156,825.96, 216,420.05 and 85,205.96 is: 117,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,825.96 : 216,420.05 = 85,205.96 : x
  2. Step 2: Convert to fraction form
    156,825.96/216,420.05 = 85,205.96/x
  3. Step 3: Cross multiply
    156,825.96x = 216,420.05 × 85,205.96
  4. Step 4: Simplify right side
    156,825.96x = 18,440,278,065.99
  5. Step 5: Solve for x
    x = 18,440,278,065.99/156,825.96
  6. Step 6: Final answer
    x = 117,584.35

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1.5x scale

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.