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Finding the Fourth Proportional to 111,172.50, 166,340.49 and 77,957.44

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Solution

The fourth proportional to 111,172.50, 166,340.49 and 77,957.44 is: 116,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,172.50 : 166,340.49 = 77,957.44 : x
  2. Step 2: Convert to fraction form
    111,172.50/166,340.49 = 77,957.44/x
  3. Step 3: Cross multiply
    111,172.50x = 166,340.49 × 77,957.44
  4. Step 4: Simplify right side
    111,172.50x = 12,967,478,060.55
  5. Step 5: Solve for x
    x = 12,967,478,060.55/111,172.50
  6. Step 6: Final answer
    x = 116,642.86

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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.