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Finding the Fourth Proportional to 111,909.10, 167,863.65 and 102,577.90

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Solution

The fourth proportional to 111,909.10, 167,863.65 and 102,577.90 is: 153,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909.10 : 167,863.65 = 102,577.90 : x
  2. Step 2: Convert to fraction form
    111,909.10/167,863.65 = 102,577.90/x
  3. Step 3: Cross multiply
    111,909.10x = 167,863.65 × 102,577.90
  4. Step 4: Simplify right side
    111,909.10x = 17,219,100,703.34
  5. Step 5: Solve for x
    x = 17,219,100,703.34/111,909.10
  6. Step 6: Final answer
    x = 153,866.85

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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.