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Finding the Fourth Proportional to 111,318.30, 166,977.45 and 90,323.10

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Solution

The fourth proportional to 111,318.30, 166,977.45 and 90,323.10 is: 135,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,318.30 : 166,977.45 = 90,323.10 : x
  2. Step 2: Convert to fraction form
    111,318.30/166,977.45 = 90,323.10/x
  3. Step 3: Cross multiply
    111,318.30x = 166,977.45 × 90,323.10
  4. Step 4: Simplify right side
    111,318.30x = 15,081,920,914.10
  5. Step 5: Solve for x
    x = 15,081,920,914.10/111,318.30
  6. Step 6: Final answer
    x = 135,484.65

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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.