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Finding the Fourth Proportional to 111,853.12, 167,838 and 45,342.40

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Solution

The fourth proportional to 111,853.12, 167,838 and 45,342.40 is: 68,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,853.12 : 167,838 = 45,342.40 : x
  2. Step 2: Convert to fraction form
    111,853.12/167,838 = 45,342.40/x
  3. Step 3: Cross multiply
    111,853.12x = 167,838 × 45,342.40
  4. Step 4: Simplify right side
    111,853.12x = 7,610,177,731.20
  5. Step 5: Solve for x
    x = 7,610,177,731.20/111,853.12
  6. Step 6: Final answer
    x = 68,037.24

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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.