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Finding the Fourth Proportional to 168,898.46, 232,978.34 and 111,538.31

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Solution

The fourth proportional to 168,898.46, 232,978.34 and 111,538.31 is: 153,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,898.46 : 232,978.34 = 111,538.31 : x
  2. Step 2: Convert to fraction form
    168,898.46/232,978.34 = 111,538.31/x
  3. Step 3: Cross multiply
    168,898.46x = 232,978.34 × 111,538.31
  4. Step 4: Simplify right side
    168,898.46x = 25,986,009,424.16
  5. Step 5: Solve for x
    x = 25,986,009,424.16/168,898.46
  6. Step 6: Final answer
    x = 153,855.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.