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Finding the Fourth Proportional to 156,775.50, 216,354.14 and 85,155.50

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Solution

The fourth proportional to 156,775.50, 216,354.14 and 85,155.50 is: 117,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,775.50 : 216,354.14 = 85,155.50 : x
  2. Step 2: Convert to fraction form
    156,775.50/216,354.14 = 85,155.50/x
  3. Step 3: Cross multiply
    156,775.50x = 216,354.14 × 85,155.50
  4. Step 4: Simplify right side
    156,775.50x = 18,423,745,403.21
  5. Step 5: Solve for x
    x = 18,423,745,403.21/156,775.50
  6. Step 6: Final answer
    x = 117,516.74

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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.