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Finding the Fourth Proportional to 107,091.12, 160,520.88 and 69,678

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Solution

The fourth proportional to 107,091.12, 160,520.88 and 69,678 is: 104,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,091.12 : 160,520.88 = 69,678 : x
  2. Step 2: Convert to fraction form
    107,091.12/160,520.88 = 69,678/x
  3. Step 3: Cross multiply
    107,091.12x = 160,520.88 × 69,678
  4. Step 4: Simplify right side
    107,091.12x = 11,184,773,876.64
  5. Step 5: Solve for x
    x = 11,184,773,876.64/107,091.12
  6. Step 6: Final answer
    x = 104,441.66

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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.