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Finding the Fourth Proportional to 111,348.40, 166,633.80 and 77,911.60

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Solution

The fourth proportional to 111,348.40, 166,633.80 and 77,911.60 is: 116,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,348.40 : 166,633.80 = 77,911.60 : x
  2. Step 2: Convert to fraction form
    111,348.40/166,633.80 = 77,911.60/x
  3. Step 3: Cross multiply
    111,348.40x = 166,633.80 × 77,911.60
  4. Step 4: Simplify right side
    111,348.40x = 12,982,705,972.08
  5. Step 5: Solve for x
    x = 12,982,705,972.08/111,348.40
  6. Step 6: Final answer
    x = 116,595.35

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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.