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Finding the Fourth Proportional to 156,894.10, 216,516.05 and 85,274.10

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Solution

The fourth proportional to 156,894.10, 216,516.05 and 85,274.10 is: 117,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,894.10 : 216,516.05 = 85,274.10 : x
  2. Step 2: Convert to fraction form
    156,894.10/216,516.05 = 85,274.10/x
  3. Step 3: Cross multiply
    156,894.10x = 216,516.05 × 85,274.10
  4. Step 4: Simplify right side
    156,894.10x = 18,463,211,299.31
  5. Step 5: Solve for x
    x = 18,463,211,299.31/156,894.10
  6. Step 6: Final answer
    x = 117,679.45

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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.