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Finding the Fourth Proportional to 111,339, 166,590 and 78,123.87

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Solution

The fourth proportional to 111,339, 166,590 and 78,123.87 is: 116,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,339 : 166,590 = 78,123.87 : x
  2. Step 2: Convert to fraction form
    111,339/166,590 = 78,123.87/x
  3. Step 3: Cross multiply
    111,339x = 166,590 × 78,123.87
  4. Step 4: Simplify right side
    111,339x = 13,014,655,503.30
  5. Step 5: Solve for x
    x = 13,014,655,503.30/111,339
  6. Step 6: Final answer
    x = 116,892.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.