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Finding the Fourth Proportional to 109,409.58, 163,939.38 and 98,911.98

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Solution

The fourth proportional to 109,409.58, 163,939.38 and 98,911.98 is: 148,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.58 : 163,939.38 = 98,911.98 : x
  2. Step 2: Convert to fraction form
    109,409.58/163,939.38 = 98,911.98/x
  3. Step 3: Cross multiply
    109,409.58x = 163,939.38 × 98,911.98
  4. Step 4: Simplify right side
    109,409.58x = 16,215,568,675.77
  5. Step 5: Solve for x
    x = 16,215,568,675.77/109,409.58
  6. Step 6: Final answer
    x = 148,209.77

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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.