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Finding the Fourth Proportional to 111,133.34, 166,670.40 and 31,166.90

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Solution

The fourth proportional to 111,133.34, 166,670.40 and 31,166.90 is: 46,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,133.34 : 166,670.40 = 31,166.90 : x
  2. Step 2: Convert to fraction form
    111,133.34/166,670.40 = 31,166.90/x
  3. Step 3: Cross multiply
    111,133.34x = 166,670.40 × 31,166.90
  4. Step 4: Simplify right side
    111,133.34x = 5,194,599,689.76
  5. Step 5: Solve for x
    x = 5,194,599,689.76/111,133.34
  6. Step 6: Final answer
    x = 46,742.05

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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.