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Finding the Fourth Proportional to 280,078.08, 420,116.32 and 69,716

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Solution

The fourth proportional to 280,078.08, 420,116.32 and 69,716 is: 104,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,078.08 : 420,116.32 = 69,716 : x
  2. Step 2: Convert to fraction form
    280,078.08/420,116.32 = 69,716/x
  3. Step 3: Cross multiply
    280,078.08x = 420,116.32 × 69,716
  4. Step 4: Simplify right side
    280,078.08x = 29,288,829,365.12
  5. Step 5: Solve for x
    x = 29,288,829,365.12/280,078.08
  6. Step 6: Final answer
    x = 104,573.80

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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.