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Finding the Fourth Proportional to 280,071.44, 420,105 and 69,707.96

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Solution

The fourth proportional to 280,071.44, 420,105 and 69,707.96 is: 104,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,071.44 : 420,105 = 69,707.96 : x
  2. Step 2: Convert to fraction form
    280,071.44/420,105 = 69,707.96/x
  3. Step 3: Cross multiply
    280,071.44x = 420,105 × 69,707.96
  4. Step 4: Simplify right side
    280,071.44x = 29,284,662,535.80
  5. Step 5: Solve for x
    x = 29,284,662,535.80/280,071.44
  6. Step 6: Final answer
    x = 104,561.40

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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.