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Finding the Fourth Proportional to 153,942.64, 212,438.76 and 85,960.78

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Solution

The fourth proportional to 153,942.64, 212,438.76 and 85,960.78 is: 118,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,942.64 : 212,438.76 = 85,960.78 : x
  2. Step 2: Convert to fraction form
    153,942.64/212,438.76 = 85,960.78/x
  3. Step 3: Cross multiply
    153,942.64x = 212,438.76 × 85,960.78
  4. Step 4: Simplify right side
    153,942.64x = 18,261,401,511.83
  5. Step 5: Solve for x
    x = 18,261,401,511.83/153,942.64
  6. Step 6: Final answer
    x = 118,624.71

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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.