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Finding the Fourth Proportional to 163,987.30, 245,896.50 and 75,164.72

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Solution

The fourth proportional to 163,987.30, 245,896.50 and 75,164.72 is: 112,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,987.30 : 245,896.50 = 75,164.72 : x
  2. Step 2: Convert to fraction form
    163,987.30/245,896.50 = 75,164.72/x
  3. Step 3: Cross multiply
    163,987.30x = 245,896.50 × 75,164.72
  4. Step 4: Simplify right side
    163,987.30x = 18,482,741,571.48
  5. Step 5: Solve for x
    x = 18,482,741,571.48/163,987.30
  6. Step 6: Final answer
    x = 112,708.38

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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.